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Finding the Fourth Proportional to 8,214.08, 12,304.80 and 7,542.08

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Solution

The fourth proportional to 8,214.08, 12,304.80 and 7,542.08 is: 11,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.08 : 12,304.80 = 7,542.08 : x
  2. Step 2: Convert to fraction form
    8,214.08/12,304.80 = 7,542.08/x
  3. Step 3: Cross multiply
    8,214.08x = 12,304.80 × 7,542.08
  4. Step 4: Simplify right side
    8,214.08x = 92,803,785.98
  5. Step 5: Solve for x
    x = 92,803,785.98/8,214.08
  6. Step 6: Final answer
    x = 11,298.14

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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.