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Finding the Fourth Proportional to 8,321.68, 12,468.78 and 7,464.28

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Solution

The fourth proportional to 8,321.68, 12,468.78 and 7,464.28 is: 11,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.68 : 12,468.78 = 7,464.28 : x
  2. Step 2: Convert to fraction form
    8,321.68/12,468.78 = 7,464.28/x
  3. Step 3: Cross multiply
    8,321.68x = 12,468.78 × 7,464.28
  4. Step 4: Simplify right side
    8,321.68x = 93,070,465.18
  5. Step 5: Solve for x
    x = 93,070,465.18/8,321.68
  6. Step 6: Final answer
    x = 11,184.10

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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.