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Finding the Fourth Proportional to 7,294.06, 10,064.82 and 4,107.21

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Solution

The fourth proportional to 7,294.06, 10,064.82 and 4,107.21 is: 5,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.06 : 10,064.82 = 4,107.21 : x
  2. Step 2: Convert to fraction form
    7,294.06/10,064.82 = 4,107.21/x
  3. Step 3: Cross multiply
    7,294.06x = 10,064.82 × 4,107.21
  4. Step 4: Simplify right side
    7,294.06x = 41,338,329.35
  5. Step 5: Solve for x
    x = 41,338,329.35/7,294.06
  6. Step 6: Final answer
    x = 5,667.40

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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.