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Finding the Fourth Proportional to 10,632.64, 15,934.92 and 8,158

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Solution

The fourth proportional to 10,632.64, 15,934.92 and 8,158 is: 12,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.64 : 15,934.92 = 8,158 : x
  2. Step 2: Convert to fraction form
    10,632.64/15,934.92 = 8,158/x
  3. Step 3: Cross multiply
    10,632.64x = 15,934.92 × 8,158
  4. Step 4: Simplify right side
    10,632.64x = 129,997,077.36
  5. Step 5: Solve for x
    x = 129,997,077.36/10,632.64
  6. Step 6: Final answer
    x = 12,226.23

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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.