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Finding the Fourth Proportional to 7,616.38, 10,510.54 and 4,259.20

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Solution

The fourth proportional to 7,616.38, 10,510.54 and 4,259.20 is: 5,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.38 : 10,510.54 = 4,259.20 : x
  2. Step 2: Convert to fraction form
    7,616.38/10,510.54 = 4,259.20/x
  3. Step 3: Cross multiply
    7,616.38x = 10,510.54 × 4,259.20
  4. Step 4: Simplify right side
    7,616.38x = 44,766,491.97
  5. Step 5: Solve for x
    x = 44,766,491.97/7,616.38
  6. Step 6: Final answer
    x = 5,877.66

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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.