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Finding the Fourth Proportional to 7,472.16, 10,311.59 and 4,114.97

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Solution

The fourth proportional to 7,472.16, 10,311.59 and 4,114.97 is: 5,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.16 : 10,311.59 = 4,114.97 : x
  2. Step 2: Convert to fraction form
    7,472.16/10,311.59 = 4,114.97/x
  3. Step 3: Cross multiply
    7,472.16x = 10,311.59 × 4,114.97
  4. Step 4: Simplify right side
    7,472.16x = 42,431,828.75
  5. Step 5: Solve for x
    x = 42,431,828.75/7,472.16
  6. Step 6: Final answer
    x = 5,678.65

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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.