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Finding the Fourth Proportional to 10,291.68, 15,437.40 and 2,500.50

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Solution

The fourth proportional to 10,291.68, 15,437.40 and 2,500.50 is: 3,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.68 : 15,437.40 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    10,291.68/15,437.40 = 2,500.50/x
  3. Step 3: Cross multiply
    10,291.68x = 15,437.40 × 2,500.50
  4. Step 4: Simplify right side
    10,291.68x = 38,601,218.70
  5. Step 5: Solve for x
    x = 38,601,218.70/10,291.68
  6. Step 6: Final answer
    x = 3,750.72

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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.