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Finding the Fourth Proportional to 11,141.44, 15,374.95 and 6,105.64

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Solution

The fourth proportional to 11,141.44, 15,374.95 and 6,105.64 is: 8,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.44 : 15,374.95 = 6,105.64 : x
  2. Step 2: Convert to fraction form
    11,141.44/15,374.95 = 6,105.64/x
  3. Step 3: Cross multiply
    11,141.44x = 15,374.95 × 6,105.64
  4. Step 4: Simplify right side
    11,141.44x = 93,873,909.72
  5. Step 5: Solve for x
    x = 93,873,909.72/11,141.44
  6. Step 6: Final answer
    x = 8,425.65

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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.