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Finding the Fourth Proportional to 7,400.17, 11,089.78 and 6,520.82

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Solution

The fourth proportional to 7,400.17, 11,089.78 and 6,520.82 is: 9,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.17 : 11,089.78 = 6,520.82 : x
  2. Step 2: Convert to fraction form
    7,400.17/11,089.78 = 6,520.82/x
  3. Step 3: Cross multiply
    7,400.17x = 11,089.78 × 6,520.82
  4. Step 4: Simplify right side
    7,400.17x = 72,314,387.47
  5. Step 5: Solve for x
    x = 72,314,387.47/7,400.17
  6. Step 6: Final answer
    x = 9,771.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.