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Finding the Fourth Proportional to 8,352.12, 11,509.26 and 6,781.56

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Solution

The fourth proportional to 8,352.12, 11,509.26 and 6,781.56 is: 9,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.12 : 11,509.26 = 6,781.56 : x
  2. Step 2: Convert to fraction form
    8,352.12/11,509.26 = 6,781.56/x
  3. Step 3: Cross multiply
    8,352.12x = 11,509.26 × 6,781.56
  4. Step 4: Simplify right side
    8,352.12x = 78,050,737.25
  5. Step 5: Solve for x
    x = 78,050,737.25/8,352.12
  6. Step 6: Final answer
    x = 9,345.02

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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.