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Finding the Fourth Proportional to 6,821.10, 10,220.71 and 6,165

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Solution

The fourth proportional to 6,821.10, 10,220.71 and 6,165 is: 9,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.10 : 10,220.71 = 6,165 : x
  2. Step 2: Convert to fraction form
    6,821.10/10,220.71 = 6,165/x
  3. Step 3: Cross multiply
    6,821.10x = 10,220.71 × 6,165
  4. Step 4: Simplify right side
    6,821.10x = 63,010,677.15
  5. Step 5: Solve for x
    x = 63,010,677.15/6,821.10
  6. Step 6: Final answer
    x = 9,237.61

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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.