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Finding the Fourth Proportional to 10,000.20, 15,000.30 and 3,074.70

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Solution

The fourth proportional to 10,000.20, 15,000.30 and 3,074.70 is: 4,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.20 : 15,000.30 = 3,074.70 : x
  2. Step 2: Convert to fraction form
    10,000.20/15,000.30 = 3,074.70/x
  3. Step 3: Cross multiply
    10,000.20x = 15,000.30 × 3,074.70
  4. Step 4: Simplify right side
    10,000.20x = 46,121,422.41
  5. Step 5: Solve for x
    x = 46,121,422.41/10,000.20
  6. Step 6: Final answer
    x = 4,612.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.