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Finding the Fourth Proportional to 10,591.54, 15,875.79 and 7,976.50

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Solution

The fourth proportional to 10,591.54, 15,875.79 and 7,976.50 is: 11,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.54 : 15,875.79 = 7,976.50 : x
  2. Step 2: Convert to fraction form
    10,591.54/15,875.79 = 7,976.50/x
  3. Step 3: Cross multiply
    10,591.54x = 15,875.79 × 7,976.50
  4. Step 4: Simplify right side
    10,591.54x = 126,633,238.94
  5. Step 5: Solve for x
    x = 126,633,238.94/10,591.54
  6. Step 6: Final answer
    x = 11,956.07

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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.