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Finding the Fourth Proportional to 7,668.50, 10,578.20 and 4,831.00

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Solution

The fourth proportional to 7,668.50, 10,578.20 and 4,831.00 is: 6,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.50 : 10,578.20 = 4,831.00 : x
  2. Step 2: Convert to fraction form
    7,668.50/10,578.20 = 4,831.00/x
  3. Step 3: Cross multiply
    7,668.50x = 10,578.20 × 4,831.00
  4. Step 4: Simplify right side
    7,668.50x = 51,103,298.57
  5. Step 5: Solve for x
    x = 51,103,298.57/7,668.50
  6. Step 6: Final answer
    x = 6,664.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.