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Finding the Fourth Proportional to 10,754, 16,132.08 and 3,831.20

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Solution

The fourth proportional to 10,754, 16,132.08 and 3,831.20 is: 5,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754 : 16,132.08 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    10,754/16,132.08 = 3,831.20/x
  3. Step 3: Cross multiply
    10,754x = 16,132.08 × 3,831.20
  4. Step 4: Simplify right side
    10,754x = 61,805,224.90
  5. Step 5: Solve for x
    x = 61,805,224.90/10,754
  6. Step 6: Final answer
    x = 5,747.18

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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.