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Finding the Fourth Proportional to 7,831.13, 10,740.80 and 7,407.50

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Solution

The fourth proportional to 7,831.13, 10,740.80 and 7,407.50 is: 10,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.13 : 10,740.80 = 7,407.50 : x
  2. Step 2: Convert to fraction form
    7,831.13/10,740.80 = 7,407.50/x
  3. Step 3: Cross multiply
    7,831.13x = 10,740.80 × 7,407.50
  4. Step 4: Simplify right side
    7,831.13x = 79,562,521.37
  5. Step 5: Solve for x
    x = 79,562,521.37/7,831.13
  6. Step 6: Final answer
    x = 10,159.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.