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Finding the Fourth Proportional to 11,418.66, 15,757.86 and 6,703.02

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Solution

The fourth proportional to 11,418.66, 15,757.86 and 6,703.02 is: 9,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.66 : 15,757.86 = 6,703.02 : x
  2. Step 2: Convert to fraction form
    11,418.66/15,757.86 = 6,703.02/x
  3. Step 3: Cross multiply
    11,418.66x = 15,757.86 × 6,703.02
  4. Step 4: Simplify right side
    11,418.66x = 105,625,250.74
  5. Step 5: Solve for x
    x = 105,625,250.74/11,418.66
  6. Step 6: Final answer
    x = 9,250.23

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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.