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Finding the Fourth Proportional to 11,565.43, 15,959.94 and 6,529.57

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Solution

The fourth proportional to 11,565.43, 15,959.94 and 6,529.57 is: 9,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.43 : 15,959.94 = 6,529.57 : x
  2. Step 2: Convert to fraction form
    11,565.43/15,959.94 = 6,529.57/x
  3. Step 3: Cross multiply
    11,565.43x = 15,959.94 × 6,529.57
  4. Step 4: Simplify right side
    11,565.43x = 104,211,545.43
  5. Step 5: Solve for x
    x = 104,211,545.43/11,565.43
  6. Step 6: Final answer
    x = 9,010.61

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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.