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Finding the Fourth Proportional to 8,251.77, 11,389.02 and 6,455.67

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Solution

The fourth proportional to 8,251.77, 11,389.02 and 6,455.67 is: 8,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.77 : 11,389.02 = 6,455.67 : x
  2. Step 2: Convert to fraction form
    8,251.77/11,389.02 = 6,455.67/x
  3. Step 3: Cross multiply
    8,251.77x = 11,389.02 × 6,455.67
  4. Step 4: Simplify right side
    8,251.77x = 73,523,754.74
  5. Step 5: Solve for x
    x = 73,523,754.74/8,251.77
  6. Step 6: Final answer
    x = 8,910.06

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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.