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Finding the Fourth Proportional to 10,196.76, 15,293.31 and 2,800.25

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Solution

The fourth proportional to 10,196.76, 15,293.31 and 2,800.25 is: 4,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.76 : 15,293.31 = 2,800.25 : x
  2. Step 2: Convert to fraction form
    10,196.76/15,293.31 = 2,800.25/x
  3. Step 3: Cross multiply
    10,196.76x = 15,293.31 × 2,800.25
  4. Step 4: Simplify right side
    10,196.76x = 42,825,014.86
  5. Step 5: Solve for x
    x = 42,825,014.86/10,196.76
  6. Step 6: Final answer
    x = 4,199.86

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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.