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Finding the Fourth Proportional to 10,357.50, 15,534.05 and 3,338.15

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Solution

The fourth proportional to 10,357.50, 15,534.05 and 3,338.15 is: 5,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.50 : 15,534.05 = 3,338.15 : x
  2. Step 2: Convert to fraction form
    10,357.50/15,534.05 = 3,338.15/x
  3. Step 3: Cross multiply
    10,357.50x = 15,534.05 × 3,338.15
  4. Step 4: Simplify right side
    10,357.50x = 51,854,894.65
  5. Step 5: Solve for x
    x = 51,854,894.65/10,357.50
  6. Step 6: Final answer
    x = 5,006.51

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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.