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Finding the Fourth Proportional to 11,116.92, 15,343.20 and 6,400.20

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Solution

The fourth proportional to 11,116.92, 15,343.20 and 6,400.20 is: 8,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.92 : 15,343.20 = 6,400.20 : x
  2. Step 2: Convert to fraction form
    11,116.92/15,343.20 = 6,400.20/x
  3. Step 3: Cross multiply
    11,116.92x = 15,343.20 × 6,400.20
  4. Step 4: Simplify right side
    11,116.92x = 98,199,548.64
  5. Step 5: Solve for x
    x = 98,199,548.64/11,116.92
  6. Step 6: Final answer
    x = 8,833.34

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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.