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Finding the Fourth Proportional to 10,616.16, 15,843.96 and 10,339.68

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Solution

The fourth proportional to 10,616.16, 15,843.96 and 10,339.68 is: 15,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.16 : 15,843.96 = 10,339.68 : x
  2. Step 2: Convert to fraction form
    10,616.16/15,843.96 = 10,339.68/x
  3. Step 3: Cross multiply
    10,616.16x = 15,843.96 × 10,339.68
  4. Step 4: Simplify right side
    10,616.16x = 163,821,476.33
  5. Step 5: Solve for x
    x = 163,821,476.33/10,616.16
  6. Step 6: Final answer
    x = 15,431.33

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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.