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Finding the Fourth Proportional to 11,471.78, 15,825.60 and 7,272.74

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Solution

The fourth proportional to 11,471.78, 15,825.60 and 7,272.74 is: 10,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.78 : 15,825.60 = 7,272.74 : x
  2. Step 2: Convert to fraction form
    11,471.78/15,825.60 = 7,272.74/x
  3. Step 3: Cross multiply
    11,471.78x = 15,825.60 × 7,272.74
  4. Step 4: Simplify right side
    11,471.78x = 115,095,474.14
  5. Step 5: Solve for x
    x = 115,095,474.14/11,471.78
  6. Step 6: Final answer
    x = 10,032.92

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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.