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Finding the Fourth Proportional to 10,366.26, 15,641.75 and 9,961.26

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Solution

The fourth proportional to 10,366.26, 15,641.75 and 9,961.26 is: 15,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.26 : 15,641.75 = 9,961.26 : x
  2. Step 2: Convert to fraction form
    10,366.26/15,641.75 = 9,961.26/x
  3. Step 3: Cross multiply
    10,366.26x = 15,641.75 × 9,961.26
  4. Step 4: Simplify right side
    10,366.26x = 155,811,488.80
  5. Step 5: Solve for x
    x = 155,811,488.80/10,366.26
  6. Step 6: Final answer
    x = 15,030.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.