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Finding the Fourth Proportional to 10,989.71, 16,493.42 and 5,726.33

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Solution

The fourth proportional to 10,989.71, 16,493.42 and 5,726.33 is: 8,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.71 : 16,493.42 = 5,726.33 : x
  2. Step 2: Convert to fraction form
    10,989.71/16,493.42 = 5,726.33/x
  3. Step 3: Cross multiply
    10,989.71x = 16,493.42 × 5,726.33
  4. Step 4: Simplify right side
    10,989.71x = 94,446,654.65
  5. Step 5: Solve for x
    x = 94,446,654.65/10,989.71
  6. Step 6: Final answer
    x = 8,594.10

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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.