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Finding the Fourth Proportional to 10,291.10, 14,202.27 and 5,815.04

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Solution

The fourth proportional to 10,291.10, 14,202.27 and 5,815.04 is: 8,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.10 : 14,202.27 = 5,815.04 : x
  2. Step 2: Convert to fraction form
    10,291.10/14,202.27 = 5,815.04/x
  3. Step 3: Cross multiply
    10,291.10x = 14,202.27 × 5,815.04
  4. Step 4: Simplify right side
    10,291.10x = 82,586,668.05
  5. Step 5: Solve for x
    x = 82,586,668.05/10,291.10
  6. Step 6: Final answer
    x = 8,025.06

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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.