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Finding the Fourth Proportional to 11,557, 15,948.66 and 6,251.82

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Solution

The fourth proportional to 11,557, 15,948.66 and 6,251.82 is: 8,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 15,948.66 = 6,251.82 : x
  2. Step 2: Convert to fraction form
    11,557/15,948.66 = 6,251.82/x
  3. Step 3: Cross multiply
    11,557x = 15,948.66 × 6,251.82
  4. Step 4: Simplify right side
    11,557x = 99,708,151.56
  5. Step 5: Solve for x
    x = 99,708,151.56/11,557
  6. Step 6: Final answer
    x = 8,627.51

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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.