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Finding the Fourth Proportional to 10,531.32, 14,489.64 and 7,998.72

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Solution

The fourth proportional to 10,531.32, 14,489.64 and 7,998.72 is: 11,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.32 : 14,489.64 = 7,998.72 : x
  2. Step 2: Convert to fraction form
    10,531.32/14,489.64 = 7,998.72/x
  3. Step 3: Cross multiply
    10,531.32x = 14,489.64 × 7,998.72
  4. Step 4: Simplify right side
    10,531.32x = 115,898,573.26
  5. Step 5: Solve for x
    x = 115,898,573.26/10,531.32
  6. Step 6: Final answer
    x = 11,005.13

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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.