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Finding the Fourth Proportional to 7,066.98, 9,753.20 and 4,042.38

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Solution

The fourth proportional to 7,066.98, 9,753.20 and 4,042.38 is: 5,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.98 : 9,753.20 = 4,042.38 : x
  2. Step 2: Convert to fraction form
    7,066.98/9,753.20 = 4,042.38/x
  3. Step 3: Cross multiply
    7,066.98x = 9,753.20 × 4,042.38
  4. Step 4: Simplify right side
    7,066.98x = 39,426,140.62
  5. Step 5: Solve for x
    x = 39,426,140.62/7,066.98
  6. Step 6: Final answer
    x = 5,578.93

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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.