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Finding the Fourth Proportional to 8,264.38, 12,386.04 and 3,872.16

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Solution

The fourth proportional to 8,264.38, 12,386.04 and 3,872.16 is: 5,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.38 : 12,386.04 = 3,872.16 : x
  2. Step 2: Convert to fraction form
    8,264.38/12,386.04 = 3,872.16/x
  3. Step 3: Cross multiply
    8,264.38x = 12,386.04 × 3,872.16
  4. Step 4: Simplify right side
    8,264.38x = 47,960,728.65
  5. Step 5: Solve for x
    x = 47,960,728.65/8,264.38
  6. Step 6: Final answer
    x = 5,803.31

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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.