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Finding the Fourth Proportional to 7,472.69, 11,206.40 and 2,206.28

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Solution

The fourth proportional to 7,472.69, 11,206.40 and 2,206.28 is: 3,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.69 : 11,206.40 = 2,206.28 : x
  2. Step 2: Convert to fraction form
    7,472.69/11,206.40 = 2,206.28/x
  3. Step 3: Cross multiply
    7,472.69x = 11,206.40 × 2,206.28
  4. Step 4: Simplify right side
    7,472.69x = 24,724,473.18
  5. Step 5: Solve for x
    x = 24,724,473.18/7,472.69
  6. Step 6: Final answer
    x = 3,308.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.