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Finding the Fourth Proportional to 7,122.28, 10,671.16 and 5,038.86

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Solution

The fourth proportional to 7,122.28, 10,671.16 and 5,038.86 is: 7,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.28 : 10,671.16 = 5,038.86 : x
  2. Step 2: Convert to fraction form
    7,122.28/10,671.16 = 5,038.86/x
  3. Step 3: Cross multiply
    7,122.28x = 10,671.16 × 5,038.86
  4. Step 4: Simplify right side
    7,122.28x = 53,770,481.28
  5. Step 5: Solve for x
    x = 53,770,481.28/7,122.28
  6. Step 6: Final answer
    x = 7,549.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.