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Finding the Fourth Proportional to 8,338.08, 12,496.44 and 3,402

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Solution

The fourth proportional to 8,338.08, 12,496.44 and 3,402 is: 5,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.08 : 12,496.44 = 3,402 : x
  2. Step 2: Convert to fraction form
    8,338.08/12,496.44 = 3,402/x
  3. Step 3: Cross multiply
    8,338.08x = 12,496.44 × 3,402
  4. Step 4: Simplify right side
    8,338.08x = 42,512,888.88
  5. Step 5: Solve for x
    x = 42,512,888.88/8,338.08
  6. Step 6: Final answer
    x = 5,098.64

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