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Finding the Fourth Proportional to 7,472.05, 10,311.45 and 4,114.78

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Solution

The fourth proportional to 7,472.05, 10,311.45 and 4,114.78 is: 5,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.05 : 10,311.45 = 4,114.78 : x
  2. Step 2: Convert to fraction form
    7,472.05/10,311.45 = 4,114.78/x
  3. Step 3: Cross multiply
    7,472.05x = 10,311.45 × 4,114.78
  4. Step 4: Simplify right side
    7,472.05x = 42,429,348.23
  5. Step 5: Solve for x
    x = 42,429,348.23/7,472.05
  6. Step 6: Final answer
    x = 5,678.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.