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Finding the Fourth Proportional to 8,832.64, 12,176.40 and 6,314.08

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Solution

The fourth proportional to 8,832.64, 12,176.40 and 6,314.08 is: 8,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.64 : 12,176.40 = 6,314.08 : x
  2. Step 2: Convert to fraction form
    8,832.64/12,176.40 = 6,314.08/x
  3. Step 3: Cross multiply
    8,832.64x = 12,176.40 × 6,314.08
  4. Step 4: Simplify right side
    8,832.64x = 76,882,763.71
  5. Step 5: Solve for x
    x = 76,882,763.71/8,832.64
  6. Step 6: Final answer
    x = 8,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.