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Finding the Fourth Proportional to 10,220.80, 15,322.92 and 6,316.96

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Solution

The fourth proportional to 10,220.80, 15,322.92 and 6,316.96 is: 9,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.80 : 15,322.92 = 6,316.96 : x
  2. Step 2: Convert to fraction form
    10,220.80/15,322.92 = 6,316.96/x
  3. Step 3: Cross multiply
    10,220.80x = 15,322.92 × 6,316.96
  4. Step 4: Simplify right side
    10,220.80x = 96,794,272.72
  5. Step 5: Solve for x
    x = 96,794,272.72/10,220.80
  6. Step 6: Final answer
    x = 9,470.32

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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.