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Finding the Fourth Proportional to 11,557.13, 15,948.82 and 6,251.93

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Solution

The fourth proportional to 11,557.13, 15,948.82 and 6,251.93 is: 8,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.13 : 15,948.82 = 6,251.93 : x
  2. Step 2: Convert to fraction form
    11,557.13/15,948.82 = 6,251.93/x
  3. Step 3: Cross multiply
    11,557.13x = 15,948.82 × 6,251.93
  4. Step 4: Simplify right side
    11,557.13x = 99,710,906.22
  5. Step 5: Solve for x
    x = 99,710,906.22/11,557.13
  6. Step 6: Final answer
    x = 8,627.65

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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.