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Finding the Fourth Proportional to 10,616.96, 15,923.39 and 10,090.13

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Solution

The fourth proportional to 10,616.96, 15,923.39 and 10,090.13 is: 15,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.96 : 15,923.39 = 10,090.13 : x
  2. Step 2: Convert to fraction form
    10,616.96/15,923.39 = 10,090.13/x
  3. Step 3: Cross multiply
    10,616.96x = 15,923.39 × 10,090.13
  4. Step 4: Simplify right side
    10,616.96x = 160,668,945.07
  5. Step 5: Solve for x
    x = 160,668,945.07/10,616.96
  6. Step 6: Final answer
    x = 15,133.23

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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.