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Finding the Fourth Proportional to 11,560.96, 15,952.32 and 6,592

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Solution

The fourth proportional to 11,560.96, 15,952.32 and 6,592 is: 9,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.96 : 15,952.32 = 6,592 : x
  2. Step 2: Convert to fraction form
    11,560.96/15,952.32 = 6,592/x
  3. Step 3: Cross multiply
    11,560.96x = 15,952.32 × 6,592
  4. Step 4: Simplify right side
    11,560.96x = 105,157,693.44
  5. Step 5: Solve for x
    x = 105,157,693.44/11,560.96
  6. Step 6: Final answer
    x = 9,095.93

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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.