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Finding the Fourth Proportional to 11,146.64, 15,377.07 and 6,669.50

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Solution

The fourth proportional to 11,146.64, 15,377.07 and 6,669.50 is: 9,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.64 : 15,377.07 = 6,669.50 : x
  2. Step 2: Convert to fraction form
    11,146.64/15,377.07 = 6,669.50/x
  3. Step 3: Cross multiply
    11,146.64x = 15,377.07 × 6,669.50
  4. Step 4: Simplify right side
    11,146.64x = 102,557,291.48
  5. Step 5: Solve for x
    x = 102,557,291.48/11,146.64
  6. Step 6: Final answer
    x = 9,200.73

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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.