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Finding the Fourth Proportional to 7,695.92, 11,542.28 and 2,698.96

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Solution

The fourth proportional to 7,695.92, 11,542.28 and 2,698.96 is: 4,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.92 : 11,542.28 = 2,698.96 : x
  2. Step 2: Convert to fraction form
    7,695.92/11,542.28 = 2,698.96/x
  3. Step 3: Cross multiply
    7,695.92x = 11,542.28 × 2,698.96
  4. Step 4: Simplify right side
    7,695.92x = 31,152,152.03
  5. Step 5: Solve for x
    x = 31,152,152.03/7,695.92
  6. Step 6: Final answer
    x = 4,047.88

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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.