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Finding the Fourth Proportional to 7,976.34, 11,947.50 and 5,006.88

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Solution

The fourth proportional to 7,976.34, 11,947.50 and 5,006.88 is: 7,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.34 : 11,947.50 = 5,006.88 : x
  2. Step 2: Convert to fraction form
    7,976.34/11,947.50 = 5,006.88/x
  3. Step 3: Cross multiply
    7,976.34x = 11,947.50 × 5,006.88
  4. Step 4: Simplify right side
    7,976.34x = 59,819,698.80
  5. Step 5: Solve for x
    x = 59,819,698.80/7,976.34
  6. Step 6: Final answer
    x = 7,499.64

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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.