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Finding the Fourth Proportional to 8,210.57, 12,317.79 and 2,663.91

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Solution

The fourth proportional to 8,210.57, 12,317.79 and 2,663.91 is: 3,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.57 : 12,317.79 = 2,663.91 : x
  2. Step 2: Convert to fraction form
    8,210.57/12,317.79 = 2,663.91/x
  3. Step 3: Cross multiply
    8,210.57x = 12,317.79 × 2,663.91
  4. Step 4: Simplify right side
    8,210.57x = 32,813,483.96
  5. Step 5: Solve for x
    x = 32,813,483.96/8,210.57
  6. Step 6: Final answer
    x = 3,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.