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Finding the Fourth Proportional to 7,046.66, 9,724.25 and 4,062.42

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Solution

The fourth proportional to 7,046.66, 9,724.25 and 4,062.42 is: 5,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.66 : 9,724.25 = 4,062.42 : x
  2. Step 2: Convert to fraction form
    7,046.66/9,724.25 = 4,062.42/x
  3. Step 3: Cross multiply
    7,046.66x = 9,724.25 × 4,062.42
  4. Step 4: Simplify right side
    7,046.66x = 39,503,997.84
  5. Step 5: Solve for x
    x = 39,503,997.84/7,046.66
  6. Step 6: Final answer
    x = 5,606.06

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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.