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Finding the Fourth Proportional to 10,120.17, 15,079.65 and 9,016.05

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Solution

The fourth proportional to 10,120.17, 15,079.65 and 9,016.05 is: 13,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.17 : 15,079.65 = 9,016.05 : x
  2. Step 2: Convert to fraction form
    10,120.17/15,079.65 = 9,016.05/x
  3. Step 3: Cross multiply
    10,120.17x = 15,079.65 × 9,016.05
  4. Step 4: Simplify right side
    10,120.17x = 135,958,878.38
  5. Step 5: Solve for x
    x = 135,958,878.38/10,120.17
  6. Step 6: Final answer
    x = 13,434.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.