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Finding the Fourth Proportional to 8,267.42, 12,387.89 and 7,428.15

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Solution

The fourth proportional to 8,267.42, 12,387.89 and 7,428.15 is: 11,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.42 : 12,387.89 = 7,428.15 : x
  2. Step 2: Convert to fraction form
    8,267.42/12,387.89 = 7,428.15/x
  3. Step 3: Cross multiply
    8,267.42x = 12,387.89 × 7,428.15
  4. Step 4: Simplify right side
    8,267.42x = 92,019,123.67
  5. Step 5: Solve for x
    x = 92,019,123.67/8,267.42
  6. Step 6: Final answer
    x = 11,130.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.