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Finding the Fourth Proportional to 11,393.10, 15,726.24 and 6,677.28

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Solution

The fourth proportional to 11,393.10, 15,726.24 and 6,677.28 is: 9,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.10 : 15,726.24 = 6,677.28 : x
  2. Step 2: Convert to fraction form
    11,393.10/15,726.24 = 6,677.28/x
  3. Step 3: Cross multiply
    11,393.10x = 15,726.24 × 6,677.28
  4. Step 4: Simplify right side
    11,393.10x = 105,008,507.83
  5. Step 5: Solve for x
    x = 105,008,507.83/11,393.10
  6. Step 6: Final answer
    x = 9,216.85

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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.