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Finding the Fourth Proportional to 10,081.75, 13,914.33 and 7,258.47

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Solution

The fourth proportional to 10,081.75, 13,914.33 and 7,258.47 is: 10,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.75 : 13,914.33 = 7,258.47 : x
  2. Step 2: Convert to fraction form
    10,081.75/13,914.33 = 7,258.47/x
  3. Step 3: Cross multiply
    10,081.75x = 13,914.33 × 7,258.47
  4. Step 4: Simplify right side
    10,081.75x = 100,996,710.58
  5. Step 5: Solve for x
    x = 100,996,710.58/10,081.75
  6. Step 6: Final answer
    x = 10,017.78

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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.