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Finding the Fourth Proportional to 11,312.31, 15,610.59 and 6,532.17

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Solution

The fourth proportional to 11,312.31, 15,610.59 and 6,532.17 is: 9,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.31 : 15,610.59 = 6,532.17 : x
  2. Step 2: Convert to fraction form
    11,312.31/15,610.59 = 6,532.17/x
  3. Step 3: Cross multiply
    11,312.31x = 15,610.59 × 6,532.17
  4. Step 4: Simplify right side
    11,312.31x = 101,971,027.68
  5. Step 5: Solve for x
    x = 101,971,027.68/11,312.31
  6. Step 6: Final answer
    x = 9,014.16

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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.