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Finding the Fourth Proportional to 11,377.40, 17,078.24 and 6,456.64

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Solution

The fourth proportional to 11,377.40, 17,078.24 and 6,456.64 is: 9,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.40 : 17,078.24 = 6,456.64 : x
  2. Step 2: Convert to fraction form
    11,377.40/17,078.24 = 6,456.64/x
  3. Step 3: Cross multiply
    11,377.40x = 17,078.24 × 6,456.64
  4. Step 4: Simplify right side
    11,377.40x = 110,268,047.51
  5. Step 5: Solve for x
    x = 110,268,047.51/11,377.40
  6. Step 6: Final answer
    x = 9,691.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.