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Finding the Fourth Proportional to 8,277.84, 12,416.63 and 2,731.55

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Solution

The fourth proportional to 8,277.84, 12,416.63 and 2,731.55 is: 4,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.84 : 12,416.63 = 2,731.55 : x
  2. Step 2: Convert to fraction form
    8,277.84/12,416.63 = 2,731.55/x
  3. Step 3: Cross multiply
    8,277.84x = 12,416.63 × 2,731.55
  4. Step 4: Simplify right side
    8,277.84x = 33,916,569.94
  5. Step 5: Solve for x
    x = 33,916,569.94/8,277.84
  6. Step 6: Final answer
    x = 4,097.27

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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.