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Finding the Fourth Proportional to 10,766.40, 16,133.81 and 7,652.40

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Solution

The fourth proportional to 10,766.40, 16,133.81 and 7,652.40 is: 11,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.40 : 16,133.81 = 7,652.40 : x
  2. Step 2: Convert to fraction form
    10,766.40/16,133.81 = 7,652.40/x
  3. Step 3: Cross multiply
    10,766.40x = 16,133.81 × 7,652.40
  4. Step 4: Simplify right side
    10,766.40x = 123,462,329.38
  5. Step 5: Solve for x
    x = 123,462,329.38/10,766.40
  6. Step 6: Final answer
    x = 11,467.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.