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Finding the Fourth Proportional to 8,308.84, 12,434.01 and 5,190.32

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Solution

The fourth proportional to 8,308.84, 12,434.01 and 5,190.32 is: 7,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.84 : 12,434.01 = 5,190.32 : x
  2. Step 2: Convert to fraction form
    8,308.84/12,434.01 = 5,190.32/x
  3. Step 3: Cross multiply
    8,308.84x = 12,434.01 × 5,190.32
  4. Step 4: Simplify right side
    8,308.84x = 64,536,414.98
  5. Step 5: Solve for x
    x = 64,536,414.98/8,308.84
  6. Step 6: Final answer
    x = 7,767.20

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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.