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Finding the Fourth Proportional to 11,470.22, 15,822.20 and 7,214.57

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Solution

The fourth proportional to 11,470.22, 15,822.20 and 7,214.57 is: 9,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.22 : 15,822.20 = 7,214.57 : x
  2. Step 2: Convert to fraction form
    11,470.22/15,822.20 = 7,214.57/x
  3. Step 3: Cross multiply
    11,470.22x = 15,822.20 × 7,214.57
  4. Step 4: Simplify right side
    11,470.22x = 114,150,333.38
  5. Step 5: Solve for x
    x = 114,150,333.38/11,470.22
  6. Step 6: Final answer
    x = 9,951.89

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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.