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Finding the Fourth Proportional to 10,000.25, 15,000.45 and 3,426.50

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Solution

The fourth proportional to 10,000.25, 15,000.45 and 3,426.50 is: 5,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.25 : 15,000.45 = 3,426.50 : x
  2. Step 2: Convert to fraction form
    10,000.25/15,000.45 = 3,426.50/x
  3. Step 3: Cross multiply
    10,000.25x = 15,000.45 × 3,426.50
  4. Step 4: Simplify right side
    10,000.25x = 51,399,041.93
  5. Step 5: Solve for x
    x = 51,399,041.93/10,000.25
  6. Step 6: Final answer
    x = 5,139.78

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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.