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Finding the Fourth Proportional to 10,347.85, 15,524.19 and 2,952.41

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Solution

The fourth proportional to 10,347.85, 15,524.19 and 2,952.41 is: 4,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.85 : 15,524.19 = 2,952.41 : x
  2. Step 2: Convert to fraction form
    10,347.85/15,524.19 = 2,952.41/x
  3. Step 3: Cross multiply
    10,347.85x = 15,524.19 × 2,952.41
  4. Step 4: Simplify right side
    10,347.85x = 45,833,773.80
  5. Step 5: Solve for x
    x = 45,833,773.80/10,347.85
  6. Step 6: Final answer
    x = 4,429.30

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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.