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Finding the Fourth Proportional to 10,116.82, 15,175.05 and 3,875.14

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Solution

The fourth proportional to 10,116.82, 15,175.05 and 3,875.14 is: 5,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.82 : 15,175.05 = 3,875.14 : x
  2. Step 2: Convert to fraction form
    10,116.82/15,175.05 = 3,875.14/x
  3. Step 3: Cross multiply
    10,116.82x = 15,175.05 × 3,875.14
  4. Step 4: Simplify right side
    10,116.82x = 58,805,443.26
  5. Step 5: Solve for x
    x = 58,805,443.26/10,116.82
  6. Step 6: Final answer
    x = 5,812.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.