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Finding the Fourth Proportional to 8,246.91, 11,384.66 and 4,709.44

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Solution

The fourth proportional to 8,246.91, 11,384.66 and 4,709.44 is: 6,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.91 : 11,384.66 = 4,709.44 : x
  2. Step 2: Convert to fraction form
    8,246.91/11,384.66 = 4,709.44/x
  3. Step 3: Cross multiply
    8,246.91x = 11,384.66 × 4,709.44
  4. Step 4: Simplify right side
    8,246.91x = 53,615,356.50
  5. Step 5: Solve for x
    x = 53,615,356.50/8,246.91
  6. Step 6: Final answer
    x = 6,501.27

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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.