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Finding the Fourth Proportional to 7,027.91, 10,463.54 and 6,929.80

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Solution

The fourth proportional to 7,027.91, 10,463.54 and 6,929.80 is: 10,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.91 : 10,463.54 = 6,929.80 : x
  2. Step 2: Convert to fraction form
    7,027.91/10,463.54 = 6,929.80/x
  3. Step 3: Cross multiply
    7,027.91x = 10,463.54 × 6,929.80
  4. Step 4: Simplify right side
    7,027.91x = 72,510,239.49
  5. Step 5: Solve for x
    x = 72,510,239.49/7,027.91
  6. Step 6: Final answer
    x = 10,317.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.