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Finding the Fourth Proportional to 10,242.12, 15,367.76 and 4,974.24

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Solution

The fourth proportional to 10,242.12, 15,367.76 and 4,974.24 is: 7,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.12 : 15,367.76 = 4,974.24 : x
  2. Step 2: Convert to fraction form
    10,242.12/15,367.76 = 4,974.24/x
  3. Step 3: Cross multiply
    10,242.12x = 15,367.76 × 4,974.24
  4. Step 4: Simplify right side
    10,242.12x = 76,442,926.50
  5. Step 5: Solve for x
    x = 76,442,926.50/10,242.12
  6. Step 6: Final answer
    x = 7,463.58

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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.