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Finding the Fourth Proportional to 11,802.88, 17,723.13 and 6,876.10

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Solution

The fourth proportional to 11,802.88, 17,723.13 and 6,876.10 is: 10,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.88 : 17,723.13 = 6,876.10 : x
  2. Step 2: Convert to fraction form
    11,802.88/17,723.13 = 6,876.10/x
  3. Step 3: Cross multiply
    11,802.88x = 17,723.13 × 6,876.10
  4. Step 4: Simplify right side
    11,802.88x = 121,866,014.19
  5. Step 5: Solve for x
    x = 121,866,014.19/11,802.88
  6. Step 6: Final answer
    x = 10,325.11

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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.