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Finding the Fourth Proportional to 8,317.87, 12,386.21 and 8,225.82

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Solution

The fourth proportional to 8,317.87, 12,386.21 and 8,225.82 is: 12,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.87 : 12,386.21 = 8,225.82 : x
  2. Step 2: Convert to fraction form
    8,317.87/12,386.21 = 8,225.82/x
  3. Step 3: Cross multiply
    8,317.87x = 12,386.21 × 8,225.82
  4. Step 4: Simplify right side
    8,317.87x = 101,886,692.81
  5. Step 5: Solve for x
    x = 101,886,692.81/8,317.87
  6. Step 6: Final answer
    x = 12,249.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.