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Finding the Fourth Proportional to 11,934.21, 16,470.72 and 7,218.48

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Solution

The fourth proportional to 11,934.21, 16,470.72 and 7,218.48 is: 9,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.21 : 16,470.72 = 7,218.48 : x
  2. Step 2: Convert to fraction form
    11,934.21/16,470.72 = 7,218.48/x
  3. Step 3: Cross multiply
    11,934.21x = 16,470.72 × 7,218.48
  4. Step 4: Simplify right side
    11,934.21x = 118,893,562.91
  5. Step 5: Solve for x
    x = 118,893,562.91/11,934.21
  6. Step 6: Final answer
    x = 9,962.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.