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Finding the Fourth Proportional to 8,434.84, 12,653.34 and 3,240.04

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Solution

The fourth proportional to 8,434.84, 12,653.34 and 3,240.04 is: 4,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.84 : 12,653.34 = 3,240.04 : x
  2. Step 2: Convert to fraction form
    8,434.84/12,653.34 = 3,240.04/x
  3. Step 3: Cross multiply
    8,434.84x = 12,653.34 × 3,240.04
  4. Step 4: Simplify right side
    8,434.84x = 40,997,327.73
  5. Step 5: Solve for x
    x = 40,997,327.73/8,434.84
  6. Step 6: Final answer
    x = 4,860.47

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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.