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Finding the Fourth Proportional to 7,668,831.80, 11,503,247.70 and 4,841,478.20

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Solution

The fourth proportional to 7,668,831.80, 11,503,247.70 and 4,841,478.20 is: 7,262,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,831.80 : 11,503,247.70 = 4,841,478.20 : x
  2. Step 2: Convert to fraction form
    7,668,831.80/11,503,247.70 = 4,841,478.20/x
  3. Step 3: Cross multiply
    7,668,831.80x = 11,503,247.70 × 4,841,478.20
  4. Step 4: Simplify right side
    7,668,831.80x = 55,692,722,968,750.14
  5. Step 5: Solve for x
    x = 55,692,722,968,750.14/7,668,831.80
  6. Step 6: Final answer
    x = 7,262,217.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.