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Finding the Fourth Proportional to 8,715, 12,024.04 and 4,937.56

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Solution

The fourth proportional to 8,715, 12,024.04 and 4,937.56 is: 6,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715 : 12,024.04 = 4,937.56 : x
  2. Step 2: Convert to fraction form
    8,715/12,024.04 = 4,937.56/x
  3. Step 3: Cross multiply
    8,715x = 12,024.04 × 4,937.56
  4. Step 4: Simplify right side
    8,715x = 59,369,418.94
  5. Step 5: Solve for x
    x = 59,369,418.94/8,715
  6. Step 6: Final answer
    x = 6,812.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.