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Finding the Fourth Proportional to 8,252.56, 12,382 and 4,968

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Solution

The fourth proportional to 8,252.56, 12,382 and 4,968 is: 7,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.56 : 12,382 = 4,968 : x
  2. Step 2: Convert to fraction form
    8,252.56/12,382 = 4,968/x
  3. Step 3: Cross multiply
    8,252.56x = 12,382 × 4,968
  4. Step 4: Simplify right side
    8,252.56x = 61,513,776
  5. Step 5: Solve for x
    x = 61,513,776/8,252.56
  6. Step 6: Final answer
    x = 7,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.