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Finding the Fourth Proportional to 10,667.25, 16,006.64 and 5,195.25

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Solution

The fourth proportional to 10,667.25, 16,006.64 and 5,195.25 is: 7,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.25 : 16,006.64 = 5,195.25 : x
  2. Step 2: Convert to fraction form
    10,667.25/16,006.64 = 5,195.25/x
  3. Step 3: Cross multiply
    10,667.25x = 16,006.64 × 5,195.25
  4. Step 4: Simplify right side
    10,667.25x = 83,158,470.48
  5. Step 5: Solve for x
    x = 83,158,470.48/10,667.25
  6. Step 6: Final answer
    x = 7,795.68

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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.