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Finding the Fourth Proportional to 8,853.18, 12,210.39 and 8,257.02

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Solution

The fourth proportional to 8,853.18, 12,210.39 and 8,257.02 is: 11,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.18 : 12,210.39 = 8,257.02 : x
  2. Step 2: Convert to fraction form
    8,853.18/12,210.39 = 8,257.02/x
  3. Step 3: Cross multiply
    8,853.18x = 12,210.39 × 8,257.02
  4. Step 4: Simplify right side
    8,853.18x = 100,821,434.44
  5. Step 5: Solve for x
    x = 100,821,434.44/8,853.18
  6. Step 6: Final answer
    x = 11,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.