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Finding the Fourth Proportional to 7,472.68, 10,312.04 and 4,115.48

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Solution

The fourth proportional to 7,472.68, 10,312.04 and 4,115.48 is: 5,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.68 : 10,312.04 = 4,115.48 : x
  2. Step 2: Convert to fraction form
    7,472.68/10,312.04 = 4,115.48/x
  3. Step 3: Cross multiply
    7,472.68x = 10,312.04 × 4,115.48
  4. Step 4: Simplify right side
    7,472.68x = 42,438,994.38
  5. Step 5: Solve for x
    x = 42,438,994.38/7,472.68
  6. Step 6: Final answer
    x = 5,679.22

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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.