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Finding the Fourth Proportional to 11,445.54, 15,789.27 and 7,201.86

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Solution

The fourth proportional to 11,445.54, 15,789.27 and 7,201.86 is: 9,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.54 : 15,789.27 = 7,201.86 : x
  2. Step 2: Convert to fraction form
    11,445.54/15,789.27 = 7,201.86/x
  3. Step 3: Cross multiply
    11,445.54x = 15,789.27 × 7,201.86
  4. Step 4: Simplify right side
    11,445.54x = 113,712,112.04
  5. Step 5: Solve for x
    x = 113,712,112.04/11,445.54
  6. Step 6: Final answer
    x = 9,935.06

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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.