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Finding the Fourth Proportional to 8,220.18, 11,319.96 and 7,143

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Solution

The fourth proportional to 8,220.18, 11,319.96 and 7,143 is: 9,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.18 : 11,319.96 = 7,143 : x
  2. Step 2: Convert to fraction form
    8,220.18/11,319.96 = 7,143/x
  3. Step 3: Cross multiply
    8,220.18x = 11,319.96 × 7,143
  4. Step 4: Simplify right side
    8,220.18x = 80,858,474.28
  5. Step 5: Solve for x
    x = 80,858,474.28/8,220.18
  6. Step 6: Final answer
    x = 9,836.58

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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.