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Finding the Fourth Proportional to 11,206.28, 15,469.98 and 6,488.84

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Solution

The fourth proportional to 11,206.28, 15,469.98 and 6,488.84 is: 8,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.28 : 15,469.98 = 6,488.84 : x
  2. Step 2: Convert to fraction form
    11,206.28/15,469.98 = 6,488.84/x
  3. Step 3: Cross multiply
    11,206.28x = 15,469.98 × 6,488.84
  4. Step 4: Simplify right side
    11,206.28x = 100,382,225.02
  5. Step 5: Solve for x
    x = 100,382,225.02/11,206.28
  6. Step 6: Final answer
    x = 8,957.68

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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.