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Finding the Fourth Proportional to 10,081.25, 13,913.64 and 7,257.97

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Solution

The fourth proportional to 10,081.25, 13,913.64 and 7,257.97 is: 10,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.25 : 13,913.64 = 7,257.97 : x
  2. Step 2: Convert to fraction form
    10,081.25/13,913.64 = 7,257.97/x
  3. Step 3: Cross multiply
    10,081.25x = 13,913.64 × 7,257.97
  4. Step 4: Simplify right side
    10,081.25x = 100,984,719.71
  5. Step 5: Solve for x
    x = 100,984,719.71/10,081.25
  6. Step 6: Final answer
    x = 10,017.08

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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.