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Finding the Fourth Proportional to 8,842.34, 12,203.61 and 5,707.66

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Solution

The fourth proportional to 8,842.34, 12,203.61 and 5,707.66 is: 7,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.34 : 12,203.61 = 5,707.66 : x
  2. Step 2: Convert to fraction form
    8,842.34/12,203.61 = 5,707.66/x
  3. Step 3: Cross multiply
    8,842.34x = 12,203.61 × 5,707.66
  4. Step 4: Simplify right side
    8,842.34x = 69,654,056.65
  5. Step 5: Solve for x
    x = 69,654,056.65/8,842.34
  6. Step 6: Final answer
    x = 7,877.33

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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.