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Finding the Fourth Proportional to 10,085.98, 15,132.20 and 4,165.65

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Solution

The fourth proportional to 10,085.98, 15,132.20 and 4,165.65 is: 6,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.98 : 15,132.20 = 4,165.65 : x
  2. Step 2: Convert to fraction form
    10,085.98/15,132.20 = 4,165.65/x
  3. Step 3: Cross multiply
    10,085.98x = 15,132.20 × 4,165.65
  4. Step 4: Simplify right side
    10,085.98x = 63,035,448.93
  5. Step 5: Solve for x
    x = 63,035,448.93/10,085.98
  6. Step 6: Final answer
    x = 6,249.81

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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.