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Finding the Fourth Proportional to 8,320.68, 12,467.28 and 7,463.28

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Solution

The fourth proportional to 8,320.68, 12,467.28 and 7,463.28 is: 11,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.68 : 12,467.28 = 7,463.28 : x
  2. Step 2: Convert to fraction form
    8,320.68/12,467.28 = 7,463.28/x
  3. Step 3: Cross multiply
    8,320.68x = 12,467.28 × 7,463.28
  4. Step 4: Simplify right side
    8,320.68x = 93,046,801.48
  5. Step 5: Solve for x
    x = 93,046,801.48/8,320.68
  6. Step 6: Final answer
    x = 11,182.60

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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.