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Finding the Fourth Proportional to 8,817.24, 12,140.84 and 8,111.93

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Solution

The fourth proportional to 8,817.24, 12,140.84 and 8,111.93 is: 11,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.24 : 12,140.84 = 8,111.93 : x
  2. Step 2: Convert to fraction form
    8,817.24/12,140.84 = 8,111.93/x
  3. Step 3: Cross multiply
    8,817.24x = 12,140.84 × 8,111.93
  4. Step 4: Simplify right side
    8,817.24x = 98,485,644.22
  5. Step 5: Solve for x
    x = 98,485,644.22/8,817.24
  6. Step 6: Final answer
    x = 11,169.67

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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.