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Finding the Fourth Proportional to 10,437.32, 14,402.08 and 5,960.76

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Solution

The fourth proportional to 10,437.32, 14,402.08 and 5,960.76 is: 8,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.32 : 14,402.08 = 5,960.76 : x
  2. Step 2: Convert to fraction form
    10,437.32/14,402.08 = 5,960.76/x
  3. Step 3: Cross multiply
    10,437.32x = 14,402.08 × 5,960.76
  4. Step 4: Simplify right side
    10,437.32x = 85,847,342.38
  5. Step 5: Solve for x
    x = 85,847,342.38/10,437.32
  6. Step 6: Final answer
    x = 8,225.04

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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.