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Finding the Fourth Proportional to 10,711.85, 14,781.46 and 6,404.84

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Solution

The fourth proportional to 10,711.85, 14,781.46 and 6,404.84 is: 8,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.85 : 14,781.46 = 6,404.84 : x
  2. Step 2: Convert to fraction form
    10,711.85/14,781.46 = 6,404.84/x
  3. Step 3: Cross multiply
    10,711.85x = 14,781.46 × 6,404.84
  4. Step 4: Simplify right side
    10,711.85x = 94,672,886.27
  5. Step 5: Solve for x
    x = 94,672,886.27/10,711.85
  6. Step 6: Final answer
    x = 8,838.15

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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.