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Finding the Fourth Proportional to 10,664.50, 15,998.07 and 3,645.22

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Solution

The fourth proportional to 10,664.50, 15,998.07 and 3,645.22 is: 5,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.50 : 15,998.07 = 3,645.22 : x
  2. Step 2: Convert to fraction form
    10,664.50/15,998.07 = 3,645.22/x
  3. Step 3: Cross multiply
    10,664.50x = 15,998.07 × 3,645.22
  4. Step 4: Simplify right side
    10,664.50x = 58,316,484.73
  5. Step 5: Solve for x
    x = 58,316,484.73/10,664.50
  6. Step 6: Final answer
    x = 5,468.28

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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.