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Finding the Fourth Proportional to 11,154.74, 15,394.04 and 6,677.64

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Solution

The fourth proportional to 11,154.74, 15,394.04 and 6,677.64 is: 9,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.74 : 15,394.04 = 6,677.64 : x
  2. Step 2: Convert to fraction form
    11,154.74/15,394.04 = 6,677.64/x
  3. Step 3: Cross multiply
    11,154.74x = 15,394.04 × 6,677.64
  4. Step 4: Simplify right side
    11,154.74x = 102,795,857.27
  5. Step 5: Solve for x
    x = 102,795,857.27/11,154.74
  6. Step 6: Final answer
    x = 9,215.44

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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.