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Finding the Fourth Proportional to 8,874.32, 12,246.38 and 4,895.82

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Solution

The fourth proportional to 8,874.32, 12,246.38 and 4,895.82 is: 6,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.32 : 12,246.38 = 4,895.82 : x
  2. Step 2: Convert to fraction form
    8,874.32/12,246.38 = 4,895.82/x
  3. Step 3: Cross multiply
    8,874.32x = 12,246.38 × 4,895.82
  4. Step 4: Simplify right side
    8,874.32x = 59,956,072.13
  5. Step 5: Solve for x
    x = 59,956,072.13/8,874.32
  6. Step 6: Final answer
    x = 6,756.13

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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.