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Finding the Fourth Proportional to 8,823.50, 12,175.40 and 5,237.15

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Solution

The fourth proportional to 8,823.50, 12,175.40 and 5,237.15 is: 7,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.50 : 12,175.40 = 5,237.15 : x
  2. Step 2: Convert to fraction form
    8,823.50/12,175.40 = 5,237.15/x
  3. Step 3: Cross multiply
    8,823.50x = 12,175.40 × 5,237.15
  4. Step 4: Simplify right side
    8,823.50x = 63,764,369.92
  5. Step 5: Solve for x
    x = 63,764,369.92/8,823.50
  6. Step 6: Final answer
    x = 7,226.66

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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.