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Finding the Fourth Proportional to 8,656.34, 12,985.76 and 2,731.21

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Solution

The fourth proportional to 8,656.34, 12,985.76 and 2,731.21 is: 4,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.34 : 12,985.76 = 2,731.21 : x
  2. Step 2: Convert to fraction form
    8,656.34/12,985.76 = 2,731.21/x
  3. Step 3: Cross multiply
    8,656.34x = 12,985.76 × 2,731.21
  4. Step 4: Simplify right side
    8,656.34x = 35,466,850.39
  5. Step 5: Solve for x
    x = 35,466,850.39/8,656.34
  6. Step 6: Final answer
    x = 4,097.21

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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.