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Finding the Fourth Proportional to 10,015.40, 15,023.10 and 3,089.96

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Solution

The fourth proportional to 10,015.40, 15,023.10 and 3,089.96 is: 4,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.40 : 15,023.10 = 3,089.96 : x
  2. Step 2: Convert to fraction form
    10,015.40/15,023.10 = 3,089.96/x
  3. Step 3: Cross multiply
    10,015.40x = 15,023.10 × 3,089.96
  4. Step 4: Simplify right side
    10,015.40x = 46,420,778.08
  5. Step 5: Solve for x
    x = 46,420,778.08/10,015.40
  6. Step 6: Final answer
    x = 4,634.94

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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.