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Finding the Fourth Proportional to 8,221.71, 11,345.09 and 4,864.67

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Solution

The fourth proportional to 8,221.71, 11,345.09 and 4,864.67 is: 6,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.71 : 11,345.09 = 4,864.67 : x
  2. Step 2: Convert to fraction form
    8,221.71/11,345.09 = 4,864.67/x
  3. Step 3: Cross multiply
    8,221.71x = 11,345.09 × 4,864.67
  4. Step 4: Simplify right side
    8,221.71x = 55,190,037.92
  5. Step 5: Solve for x
    x = 55,190,037.92/8,221.71
  6. Step 6: Final answer
    x = 6,712.72

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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.