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Finding the Fourth Proportional to 7,114.64, 10,673.57 and 2,184.98

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Solution

The fourth proportional to 7,114.64, 10,673.57 and 2,184.98 is: 3,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.64 : 10,673.57 = 2,184.98 : x
  2. Step 2: Convert to fraction form
    7,114.64/10,673.57 = 2,184.98/x
  3. Step 3: Cross multiply
    7,114.64x = 10,673.57 × 2,184.98
  4. Step 4: Simplify right side
    7,114.64x = 23,321,489.07
  5. Step 5: Solve for x
    x = 23,321,489.07/7,114.64
  6. Step 6: Final answer
    x = 3,277.96

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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.