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Finding the Fourth Proportional to 10,481.12, 15,718.40 and 3,554

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Solution

The fourth proportional to 10,481.12, 15,718.40 and 3,554 is: 5,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.12 : 15,718.40 = 3,554 : x
  2. Step 2: Convert to fraction form
    10,481.12/15,718.40 = 3,554/x
  3. Step 3: Cross multiply
    10,481.12x = 15,718.40 × 3,554
  4. Step 4: Simplify right side
    10,481.12x = 55,863,193.60
  5. Step 5: Solve for x
    x = 55,863,193.60/10,481.12
  6. Step 6: Final answer
    x = 5,329.89

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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.