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Finding the Fourth Proportional to 7,178.13, 10,765.98 and 1,984.02

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Solution

The fourth proportional to 7,178.13, 10,765.98 and 1,984.02 is: 2,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.13 : 10,765.98 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    7,178.13/10,765.98 = 1,984.02/x
  3. Step 3: Cross multiply
    7,178.13x = 10,765.98 × 1,984.02
  4. Step 4: Simplify right side
    7,178.13x = 21,359,919.64
  5. Step 5: Solve for x
    x = 21,359,919.64/7,178.13
  6. Step 6: Final answer
    x = 2,975.69

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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.