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Finding the Fourth Proportional to 7,044.30, 9,709.47 and 5,363.82

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Solution

The fourth proportional to 7,044.30, 9,709.47 and 5,363.82 is: 7,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.30 : 9,709.47 = 5,363.82 : x
  2. Step 2: Convert to fraction form
    7,044.30/9,709.47 = 5,363.82/x
  3. Step 3: Cross multiply
    7,044.30x = 9,709.47 × 5,363.82
  4. Step 4: Simplify right side
    7,044.30x = 52,079,849.38
  5. Step 5: Solve for x
    x = 52,079,849.38/7,044.30
  6. Step 6: Final answer
    x = 7,393.19

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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.