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Finding the Fourth Proportional to 10,255.98, 15,350.76 and 5,801.52

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Solution

The fourth proportional to 10,255.98, 15,350.76 and 5,801.52 is: 8,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.98 : 15,350.76 = 5,801.52 : x
  2. Step 2: Convert to fraction form
    10,255.98/15,350.76 = 5,801.52/x
  3. Step 3: Cross multiply
    10,255.98x = 15,350.76 × 5,801.52
  4. Step 4: Simplify right side
    10,255.98x = 89,057,741.16
  5. Step 5: Solve for x
    x = 89,057,741.16/10,255.98
  6. Step 6: Final answer
    x = 8,683.49

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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.