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Finding the Fourth Proportional to 11,243.10, 15,516.18 and 6,207.06

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Solution

The fourth proportional to 11,243.10, 15,516.18 and 6,207.06 is: 8,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.10 : 15,516.18 = 6,207.06 : x
  2. Step 2: Convert to fraction form
    11,243.10/15,516.18 = 6,207.06/x
  3. Step 3: Cross multiply
    11,243.10x = 15,516.18 × 6,207.06
  4. Step 4: Simplify right side
    11,243.10x = 96,309,860.23
  5. Step 5: Solve for x
    x = 96,309,860.23/11,243.10
  6. Step 6: Final answer
    x = 8,566.13

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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.