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Finding the Fourth Proportional to 11,106.68, 15,301.20 and 7,743.38

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Solution

The fourth proportional to 11,106.68, 15,301.20 and 7,743.38 is: 10,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.68 : 15,301.20 = 7,743.38 : x
  2. Step 2: Convert to fraction form
    11,106.68/15,301.20 = 7,743.38/x
  3. Step 3: Cross multiply
    11,106.68x = 15,301.20 × 7,743.38
  4. Step 4: Simplify right side
    11,106.68x = 118,483,006.06
  5. Step 5: Solve for x
    x = 118,483,006.06/11,106.68
  6. Step 6: Final answer
    x = 10,667.72

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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.