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Finding the Fourth Proportional to 7,223.75, 9,968.79 and 4,079.93

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Solution

The fourth proportional to 7,223.75, 9,968.79 and 4,079.93 is: 5,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.75 : 9,968.79 = 4,079.93 : x
  2. Step 2: Convert to fraction form
    7,223.75/9,968.79 = 4,079.93/x
  3. Step 3: Cross multiply
    7,223.75x = 9,968.79 × 4,079.93
  4. Step 4: Simplify right side
    7,223.75x = 40,671,965.38
  5. Step 5: Solve for x
    x = 40,671,965.38/7,223.75
  6. Step 6: Final answer
    x = 5,630.31

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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.