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Finding the Fourth Proportional to 8,218.62, 11,349.98 and 5,235.80

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Solution

The fourth proportional to 8,218.62, 11,349.98 and 5,235.80 is: 7,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.62 : 11,349.98 = 5,235.80 : x
  2. Step 2: Convert to fraction form
    8,218.62/11,349.98 = 5,235.80/x
  3. Step 3: Cross multiply
    8,218.62x = 11,349.98 × 5,235.80
  4. Step 4: Simplify right side
    8,218.62x = 59,426,225.28
  5. Step 5: Solve for x
    x = 59,426,225.28/8,218.62
  6. Step 6: Final answer
    x = 7,230.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.