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Finding the Fourth Proportional to 6,988.16, 10,465.84 and 3,282.44

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Solution

The fourth proportional to 6,988.16, 10,465.84 and 3,282.44 is: 4,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.16 : 10,465.84 = 3,282.44 : x
  2. Step 2: Convert to fraction form
    6,988.16/10,465.84 = 3,282.44/x
  3. Step 3: Cross multiply
    6,988.16x = 10,465.84 × 3,282.44
  4. Step 4: Simplify right side
    6,988.16x = 34,353,491.85
  5. Step 5: Solve for x
    x = 34,353,491.85/6,988.16
  6. Step 6: Final answer
    x = 4,915.96

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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.