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Finding the Fourth Proportional to 7,341.69, 11,016.33 and 3,643.84

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Solution

The fourth proportional to 7,341.69, 11,016.33 and 3,643.84 is: 5,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.69 : 11,016.33 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    7,341.69/11,016.33 = 3,643.84/x
  3. Step 3: Cross multiply
    7,341.69x = 11,016.33 × 3,643.84
  4. Step 4: Simplify right side
    7,341.69x = 40,141,743.91
  5. Step 5: Solve for x
    x = 40,141,743.91/7,341.69
  6. Step 6: Final answer
    x = 5,467.64

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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.