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Finding the Fourth Proportional to 8,363.65, 11,539.99 and 4,826.11

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Solution

The fourth proportional to 8,363.65, 11,539.99 and 4,826.11 is: 6,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.65 : 11,539.99 = 4,826.11 : x
  2. Step 2: Convert to fraction form
    8,363.65/11,539.99 = 4,826.11/x
  3. Step 3: Cross multiply
    8,363.65x = 11,539.99 × 4,826.11
  4. Step 4: Simplify right side
    8,363.65x = 55,693,261.14
  5. Step 5: Solve for x
    x = 55,693,261.14/8,363.65
  6. Step 6: Final answer
    x = 6,658.97

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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.