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Finding the Fourth Proportional to 10,291.62, 14,202.72 and 5,815.28

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Solution

The fourth proportional to 10,291.62, 14,202.72 and 5,815.28 is: 8,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.62 : 14,202.72 = 5,815.28 : x
  2. Step 2: Convert to fraction form
    10,291.62/14,202.72 = 5,815.28/x
  3. Step 3: Cross multiply
    10,291.62x = 14,202.72 × 5,815.28
  4. Step 4: Simplify right side
    10,291.62x = 82,592,793.56
  5. Step 5: Solve for x
    x = 82,592,793.56/10,291.62
  6. Step 6: Final answer
    x = 8,025.25

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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.