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Finding the Fourth Proportional to 6,689.84, 10,033.74 and 4,217.18

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Solution

The fourth proportional to 6,689.84, 10,033.74 and 4,217.18 is: 6,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.84 : 10,033.74 = 4,217.18 : x
  2. Step 2: Convert to fraction form
    6,689.84/10,033.74 = 4,217.18/x
  3. Step 3: Cross multiply
    6,689.84x = 10,033.74 × 4,217.18
  4. Step 4: Simplify right side
    6,689.84x = 42,314,037.48
  5. Step 5: Solve for x
    x = 42,314,037.48/6,689.84
  6. Step 6: Final answer
    x = 6,325.12

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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.