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Finding the Fourth Proportional to 11,462.27, 15,817.97 and 6,358.15

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Solution

The fourth proportional to 11,462.27, 15,817.97 and 6,358.15 is: 8,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.27 : 15,817.97 = 6,358.15 : x
  2. Step 2: Convert to fraction form
    11,462.27/15,817.97 = 6,358.15/x
  3. Step 3: Cross multiply
    11,462.27x = 15,817.97 × 6,358.15
  4. Step 4: Simplify right side
    11,462.27x = 100,572,994.16
  5. Step 5: Solve for x
    x = 100,572,994.16/11,462.27
  6. Step 6: Final answer
    x = 8,774.26

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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.