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Finding the Fourth Proportional to 10,197.71, 15,294.84 and 2,800.45

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Solution

The fourth proportional to 10,197.71, 15,294.84 and 2,800.45 is: 4,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.71 : 15,294.84 = 2,800.45 : x
  2. Step 2: Convert to fraction form
    10,197.71/15,294.84 = 2,800.45/x
  3. Step 3: Cross multiply
    10,197.71x = 15,294.84 × 2,800.45
  4. Step 4: Simplify right side
    10,197.71x = 42,832,434.68
  5. Step 5: Solve for x
    x = 42,832,434.68/10,197.71
  6. Step 6: Final answer
    x = 4,200.20

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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.