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Finding the Fourth Proportional to 10,023.36, 15,044.18 and 5,347.32

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Solution

The fourth proportional to 10,023.36, 15,044.18 and 5,347.32 is: 8,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.36 : 15,044.18 = 5,347.32 : x
  2. Step 2: Convert to fraction form
    10,023.36/15,044.18 = 5,347.32/x
  3. Step 3: Cross multiply
    10,023.36x = 15,044.18 × 5,347.32
  4. Step 4: Simplify right side
    10,023.36x = 80,446,017.86
  5. Step 5: Solve for x
    x = 80,446,017.86/10,023.36
  6. Step 6: Final answer
    x = 8,025.85

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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.