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Finding the Fourth Proportional to 10,463.76, 15,693.92 and 3,443.87

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Solution

The fourth proportional to 10,463.76, 15,693.92 and 3,443.87 is: 5,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.76 : 15,693.92 = 3,443.87 : x
  2. Step 2: Convert to fraction form
    10,463.76/15,693.92 = 3,443.87/x
  3. Step 3: Cross multiply
    10,463.76x = 15,693.92 × 3,443.87
  4. Step 4: Simplify right side
    10,463.76x = 54,047,724.58
  5. Step 5: Solve for x
    x = 54,047,724.58/10,463.76
  6. Step 6: Final answer
    x = 5,165.23

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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.