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Finding the Fourth Proportional to 7,724.71, 10,660.17 and 4,187.93

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Solution

The fourth proportional to 7,724.71, 10,660.17 and 4,187.93 is: 5,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.71 : 10,660.17 = 4,187.93 : x
  2. Step 2: Convert to fraction form
    7,724.71/10,660.17 = 4,187.93/x
  3. Step 3: Cross multiply
    7,724.71x = 10,660.17 × 4,187.93
  4. Step 4: Simplify right side
    7,724.71x = 44,644,045.75
  5. Step 5: Solve for x
    x = 44,644,045.75/7,724.71
  6. Step 6: Final answer
    x = 5,779.38

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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.