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Finding the Fourth Proportional to 8,907.68, 13,368 and 3,982.88

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Solution

The fourth proportional to 8,907.68, 13,368 and 3,982.88 is: 5,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.68 : 13,368 = 3,982.88 : x
  2. Step 2: Convert to fraction form
    8,907.68/13,368 = 3,982.88/x
  3. Step 3: Cross multiply
    8,907.68x = 13,368 × 3,982.88
  4. Step 4: Simplify right side
    8,907.68x = 53,243,139.84
  5. Step 5: Solve for x
    x = 53,243,139.84/8,907.68
  6. Step 6: Final answer
    x = 5,977.22

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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.