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Finding the Fourth Proportional to 7,470, 10,311.42 and 5,872.48

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Solution

The fourth proportional to 7,470, 10,311.42 and 5,872.48 is: 8,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 10,311.42 = 5,872.48 : x
  2. Step 2: Convert to fraction form
    7,470/10,311.42 = 5,872.48/x
  3. Step 3: Cross multiply
    7,470x = 10,311.42 × 5,872.48
  4. Step 4: Simplify right side
    7,470x = 60,553,607.72
  5. Step 5: Solve for x
    x = 60,553,607.72/7,470
  6. Step 6: Final answer
    x = 8,106.24

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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.