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Finding the Fourth Proportional to 8,398.84, 12,614.84 and 5,284.40

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Solution

The fourth proportional to 8,398.84, 12,614.84 and 5,284.40 is: 7,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.84 : 12,614.84 = 5,284.40 : x
  2. Step 2: Convert to fraction form
    8,398.84/12,614.84 = 5,284.40/x
  3. Step 3: Cross multiply
    8,398.84x = 12,614.84 × 5,284.40
  4. Step 4: Simplify right side
    8,398.84x = 66,661,860.50
  5. Step 5: Solve for x
    x = 66,661,860.50/8,398.84
  6. Step 6: Final answer
    x = 7,937.03

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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.