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Finding the Fourth Proportional to 11,988.64, 16,531.44 and 8,402.46

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Solution

The fourth proportional to 11,988.64, 16,531.44 and 8,402.46 is: 11,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.64 : 16,531.44 = 8,402.46 : x
  2. Step 2: Convert to fraction form
    11,988.64/16,531.44 = 8,402.46/x
  3. Step 3: Cross multiply
    11,988.64x = 16,531.44 × 8,402.46
  4. Step 4: Simplify right side
    11,988.64x = 138,904,763.34
  5. Step 5: Solve for x
    x = 138,904,763.34/11,988.64
  6. Step 6: Final answer
    x = 11,586.37

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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.