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Finding the Fourth Proportional to 10,657.94, 15,966.02 and 8,786.52

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Solution

The fourth proportional to 10,657.94, 15,966.02 and 8,786.52 is: 13,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.94 : 15,966.02 = 8,786.52 : x
  2. Step 2: Convert to fraction form
    10,657.94/15,966.02 = 8,786.52/x
  3. Step 3: Cross multiply
    10,657.94x = 15,966.02 × 8,786.52
  4. Step 4: Simplify right side
    10,657.94x = 140,285,754.05
  5. Step 5: Solve for x
    x = 140,285,754.05/10,657.94
  6. Step 6: Final answer
    x = 13,162.56

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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.