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Finding the Fourth Proportional to 7,042.69, 10,565.66 and 2,363.32

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Solution

The fourth proportional to 7,042.69, 10,565.66 and 2,363.32 is: 3,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.69 : 10,565.66 = 2,363.32 : x
  2. Step 2: Convert to fraction form
    7,042.69/10,565.66 = 2,363.32/x
  3. Step 3: Cross multiply
    7,042.69x = 10,565.66 × 2,363.32
  4. Step 4: Simplify right side
    7,042.69x = 24,970,035.59
  5. Step 5: Solve for x
    x = 24,970,035.59/7,042.69
  6. Step 6: Final answer
    x = 3,545.53

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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.