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Finding the Fourth Proportional to 10,077.14, 15,116.05 and 3,836.22

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Solution

The fourth proportional to 10,077.14, 15,116.05 and 3,836.22 is: 5,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.14 : 15,116.05 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    10,077.14/15,116.05 = 3,836.22/x
  3. Step 3: Cross multiply
    10,077.14x = 15,116.05 × 3,836.22
  4. Step 4: Simplify right side
    10,077.14x = 57,988,427.06
  5. Step 5: Solve for x
    x = 57,988,427.06/10,077.14
  6. Step 6: Final answer
    x = 5,754.45

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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.