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Finding the Fourth Proportional to 8,202.92, 12,316.67 and 4,696.88

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Solution

The fourth proportional to 8,202.92, 12,316.67 and 4,696.88 is: 7,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.92 : 12,316.67 = 4,696.88 : x
  2. Step 2: Convert to fraction form
    8,202.92/12,316.67 = 4,696.88/x
  3. Step 3: Cross multiply
    8,202.92x = 12,316.67 × 4,696.88
  4. Step 4: Simplify right side
    8,202.92x = 57,849,871.15
  5. Step 5: Solve for x
    x = 57,849,871.15/8,202.92
  6. Step 6: Final answer
    x = 7,052.36

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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.