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Finding the Fourth Proportional to 7,347.62, 11,022.65 and 3,649.97

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Solution

The fourth proportional to 7,347.62, 11,022.65 and 3,649.97 is: 5,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.62 : 11,022.65 = 3,649.97 : x
  2. Step 2: Convert to fraction form
    7,347.62/11,022.65 = 3,649.97/x
  3. Step 3: Cross multiply
    7,347.62x = 11,022.65 × 3,649.97
  4. Step 4: Simplify right side
    7,347.62x = 40,232,341.82
  5. Step 5: Solve for x
    x = 40,232,341.82/7,347.62
  6. Step 6: Final answer
    x = 5,475.56

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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.