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Finding the Fourth Proportional to 7,066.42, 9,751.82 and 4,000.02

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Solution

The fourth proportional to 7,066.42, 9,751.82 and 4,000.02 is: 5,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.42 : 9,751.82 = 4,000.02 : x
  2. Step 2: Convert to fraction form
    7,066.42/9,751.82 = 4,000.02/x
  3. Step 3: Cross multiply
    7,066.42x = 9,751.82 × 4,000.02
  4. Step 4: Simplify right side
    7,066.42x = 39,007,418.47
  5. Step 5: Solve for x
    x = 39,007,418.47/7,066.42
  6. Step 6: Final answer
    x = 5,520.11

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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.