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Finding the Fourth Proportional to 8,342.48, 11,521.24 and 7,218.02

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Solution

The fourth proportional to 8,342.48, 11,521.24 and 7,218.02 is: 9,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.48 : 11,521.24 = 7,218.02 : x
  2. Step 2: Convert to fraction form
    8,342.48/11,521.24 = 7,218.02/x
  3. Step 3: Cross multiply
    8,342.48x = 11,521.24 × 7,218.02
  4. Step 4: Simplify right side
    8,342.48x = 83,160,540.74
  5. Step 5: Solve for x
    x = 83,160,540.74/8,342.48
  6. Step 6: Final answer
    x = 9,968.32

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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.