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Finding the Fourth Proportional to 10,023.76, 15,036 and 3,003.85

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Solution

The fourth proportional to 10,023.76, 15,036 and 3,003.85 is: 4,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.76 : 15,036 = 3,003.85 : x
  2. Step 2: Convert to fraction form
    10,023.76/15,036 = 3,003.85/x
  3. Step 3: Cross multiply
    10,023.76x = 15,036 × 3,003.85
  4. Step 4: Simplify right side
    10,023.76x = 45,165,888.60
  5. Step 5: Solve for x
    x = 45,165,888.60/10,023.76
  6. Step 6: Final answer
    x = 4,505.88

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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.