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Finding the Fourth Proportional to 11,565.57, 15,962.12 and 6,531.81

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Solution

The fourth proportional to 11,565.57, 15,962.12 and 6,531.81 is: 9,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.57 : 15,962.12 = 6,531.81 : x
  2. Step 2: Convert to fraction form
    11,565.57/15,962.12 = 6,531.81/x
  3. Step 3: Cross multiply
    11,565.57x = 15,962.12 × 6,531.81
  4. Step 4: Simplify right side
    11,565.57x = 104,261,502.38
  5. Step 5: Solve for x
    x = 104,261,502.38/11,565.57
  6. Step 6: Final answer
    x = 9,014.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.