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Finding the Fourth Proportional to 7,842.73, 10,818.89 and 6,352.33

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Solution

The fourth proportional to 7,842.73, 10,818.89 and 6,352.33 is: 8,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.73 : 10,818.89 = 6,352.33 : x
  2. Step 2: Convert to fraction form
    7,842.73/10,818.89 = 6,352.33/x
  3. Step 3: Cross multiply
    7,842.73x = 10,818.89 × 6,352.33
  4. Step 4: Simplify right side
    7,842.73x = 68,725,127.75
  5. Step 5: Solve for x
    x = 68,725,127.75/7,842.73
  6. Step 6: Final answer
    x = 8,762.91

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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.