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Finding the Fourth Proportional to 8,349.94, 12,524.86 and 3,419.58

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Solution

The fourth proportional to 8,349.94, 12,524.86 and 3,419.58 is: 5,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.94 : 12,524.86 = 3,419.58 : x
  2. Step 2: Convert to fraction form
    8,349.94/12,524.86 = 3,419.58/x
  3. Step 3: Cross multiply
    8,349.94x = 12,524.86 × 3,419.58
  4. Step 4: Simplify right side
    8,349.94x = 42,829,760.76
  5. Step 5: Solve for x
    x = 42,829,760.76/8,349.94
  6. Step 6: Final answer
    x = 5,129.35

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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.