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Finding the Fourth Proportional to 12,876.65, 19,324.87 and 5,763.10

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Solution

The fourth proportional to 12,876.65, 19,324.87 and 5,763.10 is: 8,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.65 : 19,324.87 = 5,763.10 : x
  2. Step 2: Convert to fraction form
    12,876.65/19,324.87 = 5,763.10/x
  3. Step 3: Cross multiply
    12,876.65x = 19,324.87 × 5,763.10
  4. Step 4: Simplify right side
    12,876.65x = 111,371,095.58
  5. Step 5: Solve for x
    x = 111,371,095.58/12,876.65
  6. Step 6: Final answer
    x = 8,649.07

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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.