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Finding the Fourth Proportional to 8,176.40, 12,264.60 and 5,872.40

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Solution

The fourth proportional to 8,176.40, 12,264.60 and 5,872.40 is: 8,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.40 : 12,264.60 = 5,872.40 : x
  2. Step 2: Convert to fraction form
    8,176.40/12,264.60 = 5,872.40/x
  3. Step 3: Cross multiply
    8,176.40x = 12,264.60 × 5,872.40
  4. Step 4: Simplify right side
    8,176.40x = 72,022,637.04
  5. Step 5: Solve for x
    x = 72,022,637.04/8,176.40
  6. Step 6: Final answer
    x = 8,808.60

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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.