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Finding the Fourth Proportional to 12,141.48, 16,756.57 and 7,665

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Solution

The fourth proportional to 12,141.48, 16,756.57 and 7,665 is: 10,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.48 : 16,756.57 = 7,665 : x
  2. Step 2: Convert to fraction form
    12,141.48/16,756.57 = 7,665/x
  3. Step 3: Cross multiply
    12,141.48x = 16,756.57 × 7,665
  4. Step 4: Simplify right side
    12,141.48x = 128,439,109.05
  5. Step 5: Solve for x
    x = 128,439,109.05/12,141.48
  6. Step 6: Final answer
    x = 10,578.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.