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Finding the Fourth Proportional to 8,277.42, 12,416.51 and 2,731.25

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Solution

The fourth proportional to 8,277.42, 12,416.51 and 2,731.25 is: 4,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.42 : 12,416.51 = 2,731.25 : x
  2. Step 2: Convert to fraction form
    8,277.42/12,416.51 = 2,731.25/x
  3. Step 3: Cross multiply
    8,277.42x = 12,416.51 × 2,731.25
  4. Step 4: Simplify right side
    8,277.42x = 33,912,592.94
  5. Step 5: Solve for x
    x = 33,912,592.94/8,277.42
  6. Step 6: Final answer
    x = 4,097.00

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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.