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Finding the Fourth Proportional to 11,048.40, 15,242.44 and 8,184.11

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Solution

The fourth proportional to 11,048.40, 15,242.44 and 8,184.11 is: 11,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.40 : 15,242.44 = 8,184.11 : x
  2. Step 2: Convert to fraction form
    11,048.40/15,242.44 = 8,184.11/x
  3. Step 3: Cross multiply
    11,048.40x = 15,242.44 × 8,184.11
  4. Step 4: Simplify right side
    11,048.40x = 124,745,805.63
  5. Step 5: Solve for x
    x = 124,745,805.63/11,048.40
  6. Step 6: Final answer
    x = 11,290.85

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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.