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Finding the Fourth Proportional to 11,154.31, 15,392.84 and 6,118.43

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Solution

The fourth proportional to 11,154.31, 15,392.84 and 6,118.43 is: 8,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.31 : 15,392.84 = 6,118.43 : x
  2. Step 2: Convert to fraction form
    11,154.31/15,392.84 = 6,118.43/x
  3. Step 3: Cross multiply
    11,154.31x = 15,392.84 × 6,118.43
  4. Step 4: Simplify right side
    11,154.31x = 94,180,029.34
  5. Step 5: Solve for x
    x = 94,180,029.34/11,154.31
  6. Step 6: Final answer
    x = 8,443.38

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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.