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Finding the Fourth Proportional to 11,323.65, 15,626.78 and 6,288.19

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Solution

The fourth proportional to 11,323.65, 15,626.78 and 6,288.19 is: 8,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.65 : 15,626.78 = 6,288.19 : x
  2. Step 2: Convert to fraction form
    11,323.65/15,626.78 = 6,288.19/x
  3. Step 3: Cross multiply
    11,323.65x = 15,626.78 × 6,288.19
  4. Step 4: Simplify right side
    11,323.65x = 98,264,138.38
  5. Step 5: Solve for x
    x = 98,264,138.38/11,323.65
  6. Step 6: Final answer
    x = 8,677.78

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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.