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Finding the Fourth Proportional to 11,371.14, 15,691.74 and 6,335.25

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Solution

The fourth proportional to 11,371.14, 15,691.74 and 6,335.25 is: 8,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.14 : 15,691.74 = 6,335.25 : x
  2. Step 2: Convert to fraction form
    11,371.14/15,691.74 = 6,335.25/x
  3. Step 3: Cross multiply
    11,371.14x = 15,691.74 × 6,335.25
  4. Step 4: Simplify right side
    11,371.14x = 99,411,095.84
  5. Step 5: Solve for x
    x = 99,411,095.84/11,371.14
  6. Step 6: Final answer
    x = 8,742.40

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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.