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Finding the Fourth Proportional to 8,196.91, 11,312.69 and 4,660.65

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Solution

The fourth proportional to 8,196.91, 11,312.69 and 4,660.65 is: 6,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.91 : 11,312.69 = 4,660.65 : x
  2. Step 2: Convert to fraction form
    8,196.91/11,312.69 = 4,660.65/x
  3. Step 3: Cross multiply
    8,196.91x = 11,312.69 × 4,660.65
  4. Step 4: Simplify right side
    8,196.91x = 52,724,488.65
  5. Step 5: Solve for x
    x = 52,724,488.65/8,196.91
  6. Step 6: Final answer
    x = 6,432.24

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