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Finding the Fourth Proportional to 10,493.50, 15,740.27 and 3,473.52

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Solution

The fourth proportional to 10,493.50, 15,740.27 and 3,473.52 is: 5,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.50 : 15,740.27 = 3,473.52 : x
  2. Step 2: Convert to fraction form
    10,493.50/15,740.27 = 3,473.52/x
  3. Step 3: Cross multiply
    10,493.50x = 15,740.27 × 3,473.52
  4. Step 4: Simplify right side
    10,493.50x = 54,674,142.65
  5. Step 5: Solve for x
    x = 54,674,142.65/10,493.50
  6. Step 6: Final answer
    x = 5,210.29

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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.