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Finding the Fourth Proportional to 8,429.16, 11,637.72 and 7,543.44

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Solution

The fourth proportional to 8,429.16, 11,637.72 and 7,543.44 is: 10,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.16 : 11,637.72 = 7,543.44 : x
  2. Step 2: Convert to fraction form
    8,429.16/11,637.72 = 7,543.44/x
  3. Step 3: Cross multiply
    8,429.16x = 11,637.72 × 7,543.44
  4. Step 4: Simplify right side
    8,429.16x = 87,788,442.56
  5. Step 5: Solve for x
    x = 87,788,442.56/8,429.16
  6. Step 6: Final answer
    x = 10,414.85

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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.