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Finding the Fourth Proportional to 11,641, 16,064.27 and 6,335.70

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Solution

The fourth proportional to 11,641, 16,064.27 and 6,335.70 is: 8,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641 : 16,064.27 = 6,335.70 : x
  2. Step 2: Convert to fraction form
    11,641/16,064.27 = 6,335.70/x
  3. Step 3: Cross multiply
    11,641x = 16,064.27 × 6,335.70
  4. Step 4: Simplify right side
    11,641x = 101,778,395.44
  5. Step 5: Solve for x
    x = 101,778,395.44/11,641
  6. Step 6: Final answer
    x = 8,743.10

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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.