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Finding the Fourth Proportional to 10,166.56, 15,252.72 and 4,324

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Solution

The fourth proportional to 10,166.56, 15,252.72 and 4,324 is: 6,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.56 : 15,252.72 = 4,324 : x
  2. Step 2: Convert to fraction form
    10,166.56/15,252.72 = 4,324/x
  3. Step 3: Cross multiply
    10,166.56x = 15,252.72 × 4,324
  4. Step 4: Simplify right side
    10,166.56x = 65,952,761.28
  5. Step 5: Solve for x
    x = 65,952,761.28/10,166.56
  6. Step 6: Final answer
    x = 6,487.22

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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.