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Finding the Fourth Proportional to 8,344.32, 12,498.72 and 6,776.96

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Solution

The fourth proportional to 8,344.32, 12,498.72 and 6,776.96 is: 10,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.32 : 12,498.72 = 6,776.96 : x
  2. Step 2: Convert to fraction form
    8,344.32/12,498.72 = 6,776.96/x
  3. Step 3: Cross multiply
    8,344.32x = 12,498.72 × 6,776.96
  4. Step 4: Simplify right side
    8,344.32x = 84,703,325.49
  5. Step 5: Solve for x
    x = 84,703,325.49/8,344.32
  6. Step 6: Final answer
    x = 10,151.02

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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.