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Finding the Fourth Proportional to 8,242.42, 11,363.52 and 6,820.87

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Solution

The fourth proportional to 8,242.42, 11,363.52 and 6,820.87 is: 9,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.42 : 11,363.52 = 6,820.87 : x
  2. Step 2: Convert to fraction form
    8,242.42/11,363.52 = 6,820.87/x
  3. Step 3: Cross multiply
    8,242.42x = 11,363.52 × 6,820.87
  4. Step 4: Simplify right side
    8,242.42x = 77,509,092.66
  5. Step 5: Solve for x
    x = 77,509,092.66/8,242.42
  6. Step 6: Final answer
    x = 9,403.68

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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.