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Finding the Fourth Proportional to 10,616.34, 15,924.51 and 4,766.12

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Solution

The fourth proportional to 10,616.34, 15,924.51 and 4,766.12 is: 7,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.34 : 15,924.51 = 4,766.12 : x
  2. Step 2: Convert to fraction form
    10,616.34/15,924.51 = 4,766.12/x
  3. Step 3: Cross multiply
    10,616.34x = 15,924.51 × 4,766.12
  4. Step 4: Simplify right side
    10,616.34x = 75,898,045.98
  5. Step 5: Solve for x
    x = 75,898,045.98/10,616.34
  6. Step 6: Final answer
    x = 7,149.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.