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Finding the Fourth Proportional to 10,866.65, 16,300.04 and 3,845.13

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Solution

The fourth proportional to 10,866.65, 16,300.04 and 3,845.13 is: 5,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.65 : 16,300.04 = 3,845.13 : x
  2. Step 2: Convert to fraction form
    10,866.65/16,300.04 = 3,845.13/x
  3. Step 3: Cross multiply
    10,866.65x = 16,300.04 × 3,845.13
  4. Step 4: Simplify right side
    10,866.65x = 62,675,753.58
  5. Step 5: Solve for x
    x = 62,675,753.58/10,866.65
  6. Step 6: Final answer
    x = 5,767.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.