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Finding the Fourth Proportional to 10,241.76, 15,348.24 and 5,852.64

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Solution

The fourth proportional to 10,241.76, 15,348.24 and 5,852.64 is: 8,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.76 : 15,348.24 = 5,852.64 : x
  2. Step 2: Convert to fraction form
    10,241.76/15,348.24 = 5,852.64/x
  3. Step 3: Cross multiply
    10,241.76x = 15,348.24 × 5,852.64
  4. Step 4: Simplify right side
    10,241.76x = 89,827,723.35
  5. Step 5: Solve for x
    x = 89,827,723.35/10,241.76
  6. Step 6: Final answer
    x = 8,770.73

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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.