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Finding the Fourth Proportional to 11,565.48, 15,960.29 and 6,529.66

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Solution

The fourth proportional to 11,565.48, 15,960.29 and 6,529.66 is: 9,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.48 : 15,960.29 = 6,529.66 : x
  2. Step 2: Convert to fraction form
    11,565.48/15,960.29 = 6,529.66/x
  3. Step 3: Cross multiply
    11,565.48x = 15,960.29 × 6,529.66
  4. Step 4: Simplify right side
    11,565.48x = 104,215,321.16
  5. Step 5: Solve for x
    x = 104,215,321.16/11,565.48
  6. Step 6: Final answer
    x = 9,010.89

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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.