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Finding the Fourth Proportional to 8,192.32, 12,290.76 and 2,998.72

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Solution

The fourth proportional to 8,192.32, 12,290.76 and 2,998.72 is: 4,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.32 : 12,290.76 = 2,998.72 : x
  2. Step 2: Convert to fraction form
    8,192.32/12,290.76 = 2,998.72/x
  3. Step 3: Cross multiply
    8,192.32x = 12,290.76 × 2,998.72
  4. Step 4: Simplify right side
    8,192.32x = 36,856,547.83
  5. Step 5: Solve for x
    x = 36,856,547.83/8,192.32
  6. Step 6: Final answer
    x = 4,498.91

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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.