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Finding the Fourth Proportional to 10,499.70, 15,751.22 and 3,479.96

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Solution

The fourth proportional to 10,499.70, 15,751.22 and 3,479.96 is: 5,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.70 : 15,751.22 = 3,479.96 : x
  2. Step 2: Convert to fraction form
    10,499.70/15,751.22 = 3,479.96/x
  3. Step 3: Cross multiply
    10,499.70x = 15,751.22 × 3,479.96
  4. Step 4: Simplify right side
    10,499.70x = 54,813,663.63
  5. Step 5: Solve for x
    x = 54,813,663.63/10,499.70
  6. Step 6: Final answer
    x = 5,220.50

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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.