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Finding the Fourth Proportional to 10,201.14, 15,290.19 and 5,010.66

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Solution

The fourth proportional to 10,201.14, 15,290.19 and 5,010.66 is: 7,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.14 : 15,290.19 = 5,010.66 : x
  2. Step 2: Convert to fraction form
    10,201.14/15,290.19 = 5,010.66/x
  3. Step 3: Cross multiply
    10,201.14x = 15,290.19 × 5,010.66
  4. Step 4: Simplify right side
    10,201.14x = 76,613,943.43
  5. Step 5: Solve for x
    x = 76,613,943.43/10,201.14
  6. Step 6: Final answer
    x = 7,510.33

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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.