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Finding the Fourth Proportional to 11,452.40, 15,805.56 and 6,416.83

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Solution

The fourth proportional to 11,452.40, 15,805.56 and 6,416.83 is: 8,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.40 : 15,805.56 = 6,416.83 : x
  2. Step 2: Convert to fraction form
    11,452.40/15,805.56 = 6,416.83/x
  3. Step 3: Cross multiply
    11,452.40x = 15,805.56 × 6,416.83
  4. Step 4: Simplify right side
    11,452.40x = 101,421,591.57
  5. Step 5: Solve for x
    x = 101,421,591.57/11,452.40
  6. Step 6: Final answer
    x = 8,855.92

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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.