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Finding the Fourth Proportional to 7,146.64, 10,718.22 and 2,984.39

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Solution

The fourth proportional to 7,146.64, 10,718.22 and 2,984.39 is: 4,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.64 : 10,718.22 = 2,984.39 : x
  2. Step 2: Convert to fraction form
    7,146.64/10,718.22 = 2,984.39/x
  3. Step 3: Cross multiply
    7,146.64x = 10,718.22 × 2,984.39
  4. Step 4: Simplify right side
    7,146.64x = 31,987,294.99
  5. Step 5: Solve for x
    x = 31,987,294.99/7,146.64
  6. Step 6: Final answer
    x = 4,475.85

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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.