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Finding the Fourth Proportional to 11,452.84, 15,805.35 and 6,417.27

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Solution

The fourth proportional to 11,452.84, 15,805.35 and 6,417.27 is: 8,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.84 : 15,805.35 = 6,417.27 : x
  2. Step 2: Convert to fraction form
    11,452.84/15,805.35 = 6,417.27/x
  3. Step 3: Cross multiply
    11,452.84x = 15,805.35 × 6,417.27
  4. Step 4: Simplify right side
    11,452.84x = 101,427,198.39
  5. Step 5: Solve for x
    x = 101,427,198.39/11,452.84
  6. Step 6: Final answer
    x = 8,856.08

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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.