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Finding the Fourth Proportional to 7,057.52, 10,565.50 and 4,711.70

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Solution

The fourth proportional to 7,057.52, 10,565.50 and 4,711.70 is: 7,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.52 : 10,565.50 = 4,711.70 : x
  2. Step 2: Convert to fraction form
    7,057.52/10,565.50 = 4,711.70/x
  3. Step 3: Cross multiply
    7,057.52x = 10,565.50 × 4,711.70
  4. Step 4: Simplify right side
    7,057.52x = 49,781,466.35
  5. Step 5: Solve for x
    x = 49,781,466.35/7,057.52
  6. Step 6: Final answer
    x = 7,053.68

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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.