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Finding the Fourth Proportional to 10,481.88, 15,715.86 and 4,152.57

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Solution

The fourth proportional to 10,481.88, 15,715.86 and 4,152.57 is: 6,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.88 : 15,715.86 = 4,152.57 : x
  2. Step 2: Convert to fraction form
    10,481.88/15,715.86 = 4,152.57/x
  3. Step 3: Cross multiply
    10,481.88x = 15,715.86 × 4,152.57
  4. Step 4: Simplify right side
    10,481.88x = 65,261,208.76
  5. Step 5: Solve for x
    x = 65,261,208.76/10,481.88
  6. Step 6: Final answer
    x = 6,226.10

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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.