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Finding the Fourth Proportional to 6,023.07, 8,314.16 and 4,032.90

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Solution

The fourth proportional to 6,023.07, 8,314.16 and 4,032.90 is: 5,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.07 : 8,314.16 = 4,032.90 : x
  2. Step 2: Convert to fraction form
    6,023.07/8,314.16 = 4,032.90/x
  3. Step 3: Cross multiply
    6,023.07x = 8,314.16 × 4,032.90
  4. Step 4: Simplify right side
    6,023.07x = 33,530,155.70
  5. Step 5: Solve for x
    x = 33,530,155.70/6,023.07
  6. Step 6: Final answer
    x = 5,566.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.