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Finding the Fourth Proportional to 11,225.38, 15,491.05 and 6,189.47

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Solution

The fourth proportional to 11,225.38, 15,491.05 and 6,189.47 is: 8,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.38 : 15,491.05 = 6,189.47 : x
  2. Step 2: Convert to fraction form
    11,225.38/15,491.05 = 6,189.47/x
  3. Step 3: Cross multiply
    11,225.38x = 15,491.05 × 6,189.47
  4. Step 4: Simplify right side
    11,225.38x = 95,881,335.87
  5. Step 5: Solve for x
    x = 95,881,335.87/11,225.38
  6. Step 6: Final answer
    x = 8,541.48

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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.