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Finding the Fourth Proportional to 10,258.89, 15,382.86 and 5,323.56

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Solution

The fourth proportional to 10,258.89, 15,382.86 and 5,323.56 is: 7,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.89 : 15,382.86 = 5,323.56 : x
  2. Step 2: Convert to fraction form
    10,258.89/15,382.86 = 5,323.56/x
  3. Step 3: Cross multiply
    10,258.89x = 15,382.86 × 5,323.56
  4. Step 4: Simplify right side
    10,258.89x = 81,891,578.18
  5. Step 5: Solve for x
    x = 81,891,578.18/10,258.89
  6. Step 6: Final answer
    x = 7,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.