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Finding the Fourth Proportional to 10,489.43, 15,711.50 and 4,934.45

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Solution

The fourth proportional to 10,489.43, 15,711.50 and 4,934.45 is: 7,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.43 : 15,711.50 = 4,934.45 : x
  2. Step 2: Convert to fraction form
    10,489.43/15,711.50 = 4,934.45/x
  3. Step 3: Cross multiply
    10,489.43x = 15,711.50 × 4,934.45
  4. Step 4: Simplify right side
    10,489.43x = 77,527,662.79
  5. Step 5: Solve for x
    x = 77,527,662.79/10,489.43
  6. Step 6: Final answer
    x = 7,391.03

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