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Finding the Fourth Proportional to 7,441.86, 11,122.71 and 6,497.31

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Solution

The fourth proportional to 7,441.86, 11,122.71 and 6,497.31 is: 9,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.86 : 11,122.71 = 6,497.31 : x
  2. Step 2: Convert to fraction form
    7,441.86/11,122.71 = 6,497.31/x
  3. Step 3: Cross multiply
    7,441.86x = 11,122.71 × 6,497.31
  4. Step 4: Simplify right side
    7,441.86x = 72,267,694.91
  5. Step 5: Solve for x
    x = 72,267,694.91/7,441.86
  6. Step 6: Final answer
    x = 9,710.97

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