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Finding the Fourth Proportional to 7,985.32, 11,976.88 and 2,142

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Solution

The fourth proportional to 7,985.32, 11,976.88 and 2,142 is: 3,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.32 : 11,976.88 = 2,142 : x
  2. Step 2: Convert to fraction form
    7,985.32/11,976.88 = 2,142/x
  3. Step 3: Cross multiply
    7,985.32x = 11,976.88 × 2,142
  4. Step 4: Simplify right side
    7,985.32x = 25,654,476.96
  5. Step 5: Solve for x
    x = 25,654,476.96/7,985.32
  6. Step 6: Final answer
    x = 3,212.70

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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.