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Finding the Fourth Proportional to 8,221.76, 11,346.72 and 7,046.72

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Solution

The fourth proportional to 8,221.76, 11,346.72 and 7,046.72 is: 9,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.76 : 11,346.72 = 7,046.72 : x
  2. Step 2: Convert to fraction form
    8,221.76/11,346.72 = 7,046.72/x
  3. Step 3: Cross multiply
    8,221.76x = 11,346.72 × 7,046.72
  4. Step 4: Simplify right side
    8,221.76x = 79,957,158.76
  5. Step 5: Solve for x
    x = 79,957,158.76/8,221.76
  6. Step 6: Final answer
    x = 9,725.07

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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.