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Finding the Fourth Proportional to 11,417.31, 15,726.59 and 8,054.22

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Solution

The fourth proportional to 11,417.31, 15,726.59 and 8,054.22 is: 11,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.31 : 15,726.59 = 8,054.22 : x
  2. Step 2: Convert to fraction form
    11,417.31/15,726.59 = 8,054.22/x
  3. Step 3: Cross multiply
    11,417.31x = 15,726.59 × 8,054.22
  4. Step 4: Simplify right side
    11,417.31x = 126,665,375.44
  5. Step 5: Solve for x
    x = 126,665,375.44/11,417.31
  6. Step 6: Final answer
    x = 11,094.15

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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.