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Finding the Fourth Proportional to 11,004.14, 15,161.92 and 7,461.20

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Solution

The fourth proportional to 11,004.14, 15,161.92 and 7,461.20 is: 10,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.14 : 15,161.92 = 7,461.20 : x
  2. Step 2: Convert to fraction form
    11,004.14/15,161.92 = 7,461.20/x
  3. Step 3: Cross multiply
    11,004.14x = 15,161.92 × 7,461.20
  4. Step 4: Simplify right side
    11,004.14x = 113,126,136.76
  5. Step 5: Solve for x
    x = 113,126,136.76/11,004.14
  6. Step 6: Final answer
    x = 10,280.32

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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.