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Finding the Fourth Proportional to 11,467.88, 15,825.75 and 6,691.14

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Solution

The fourth proportional to 11,467.88, 15,825.75 and 6,691.14 is: 9,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.88 : 15,825.75 = 6,691.14 : x
  2. Step 2: Convert to fraction form
    11,467.88/15,825.75 = 6,691.14/x
  3. Step 3: Cross multiply
    11,467.88x = 15,825.75 × 6,691.14
  4. Step 4: Simplify right side
    11,467.88x = 105,892,283.76
  5. Step 5: Solve for x
    x = 105,892,283.76/11,467.88
  6. Step 6: Final answer
    x = 9,233.82

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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.