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Finding the Fourth Proportional to 7,165.60, 9,888.80 and 4,180.96

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Solution

The fourth proportional to 7,165.60, 9,888.80 and 4,180.96 is: 5,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.60 : 9,888.80 = 4,180.96 : x
  2. Step 2: Convert to fraction form
    7,165.60/9,888.80 = 4,180.96/x
  3. Step 3: Cross multiply
    7,165.60x = 9,888.80 × 4,180.96
  4. Step 4: Simplify right side
    7,165.60x = 41,344,677.25
  5. Step 5: Solve for x
    x = 41,344,677.25/7,165.60
  6. Step 6: Final answer
    x = 5,769.88

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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.