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Finding the Fourth Proportional to 8,281.32, 12,419.35 and 2,733.63

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Solution

The fourth proportional to 8,281.32, 12,419.35 and 2,733.63 is: 4,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.32 : 12,419.35 = 2,733.63 : x
  2. Step 2: Convert to fraction form
    8,281.32/12,419.35 = 2,733.63/x
  3. Step 3: Cross multiply
    8,281.32x = 12,419.35 × 2,733.63
  4. Step 4: Simplify right side
    8,281.32x = 33,949,894.07
  5. Step 5: Solve for x
    x = 33,949,894.07/8,281.32
  6. Step 6: Final answer
    x = 4,099.58

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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.