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Finding the Fourth Proportional to 7,097.68, 10,649.82 and 3,637.36

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Solution

The fourth proportional to 7,097.68, 10,649.82 and 3,637.36 is: 5,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.68 : 10,649.82 = 3,637.36 : x
  2. Step 2: Convert to fraction form
    7,097.68/10,649.82 = 3,637.36/x
  3. Step 3: Cross multiply
    7,097.68x = 10,649.82 × 3,637.36
  4. Step 4: Simplify right side
    7,097.68x = 38,737,229.28
  5. Step 5: Solve for x
    x = 38,737,229.28/7,097.68
  6. Step 6: Final answer
    x = 5,457.73

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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.