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Finding the Fourth Proportional to 7,109.97, 10,661.44 and 2,178.42

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Solution

The fourth proportional to 7,109.97, 10,661.44 and 2,178.42 is: 3,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.97 : 10,661.44 = 2,178.42 : x
  2. Step 2: Convert to fraction form
    7,109.97/10,661.44 = 2,178.42/x
  3. Step 3: Cross multiply
    7,109.97x = 10,661.44 × 2,178.42
  4. Step 4: Simplify right side
    7,109.97x = 23,225,094.12
  5. Step 5: Solve for x
    x = 23,225,094.12/7,109.97
  6. Step 6: Final answer
    x = 3,266.55

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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.