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Finding the Fourth Proportional to 8,541.72, 12,812.04 and 5,076

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Solution

The fourth proportional to 8,541.72, 12,812.04 and 5,076 is: 7,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.72 : 12,812.04 = 5,076 : x
  2. Step 2: Convert to fraction form
    8,541.72/12,812.04 = 5,076/x
  3. Step 3: Cross multiply
    8,541.72x = 12,812.04 × 5,076
  4. Step 4: Simplify right side
    8,541.72x = 65,033,915.04
  5. Step 5: Solve for x
    x = 65,033,915.04/8,541.72
  6. Step 6: Final answer
    x = 7,613.68

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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.