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Finding the Fourth Proportional to 11,309.50, 15,607.11 and 6,592.87

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Solution

The fourth proportional to 11,309.50, 15,607.11 and 6,592.87 is: 9,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.50 : 15,607.11 = 6,592.87 : x
  2. Step 2: Convert to fraction form
    11,309.50/15,607.11 = 6,592.87/x
  3. Step 3: Cross multiply
    11,309.50x = 15,607.11 × 6,592.87
  4. Step 4: Simplify right side
    11,309.50x = 102,895,647.31
  5. Step 5: Solve for x
    x = 102,895,647.31/11,309.50
  6. Step 6: Final answer
    x = 9,098.16

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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.