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Finding the Fourth Proportional to 10,632.06, 15,957.81 and 8,158.86

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Solution

The fourth proportional to 10,632.06, 15,957.81 and 8,158.86 is: 12,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.06 : 15,957.81 = 8,158.86 : x
  2. Step 2: Convert to fraction form
    10,632.06/15,957.81 = 8,158.86/x
  3. Step 3: Cross multiply
    10,632.06x = 15,957.81 × 8,158.86
  4. Step 4: Simplify right side
    10,632.06x = 130,197,537.70
  5. Step 5: Solve for x
    x = 130,197,537.70/10,632.06
  6. Step 6: Final answer
    x = 12,245.75

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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.