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Finding the Fourth Proportional to 8,816.50, 12,078.74 and 8,484.40

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Solution

The fourth proportional to 8,816.50, 12,078.74 and 8,484.40 is: 11,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.50 : 12,078.74 = 8,484.40 : x
  2. Step 2: Convert to fraction form
    8,816.50/12,078.74 = 8,484.40/x
  3. Step 3: Cross multiply
    8,816.50x = 12,078.74 × 8,484.40
  4. Step 4: Simplify right side
    8,816.50x = 102,480,861.66
  5. Step 5: Solve for x
    x = 102,480,861.66/8,816.50
  6. Step 6: Final answer
    x = 11,623.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.