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Finding the Fourth Proportional to 8,497.56, 12,746.34 and 2,654.63

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Solution

The fourth proportional to 8,497.56, 12,746.34 and 2,654.63 is: 3,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.56 : 12,746.34 = 2,654.63 : x
  2. Step 2: Convert to fraction form
    8,497.56/12,746.34 = 2,654.63/x
  3. Step 3: Cross multiply
    8,497.56x = 12,746.34 × 2,654.63
  4. Step 4: Simplify right side
    8,497.56x = 33,836,816.55
  5. Step 5: Solve for x
    x = 33,836,816.55/8,497.56
  6. Step 6: Final answer
    x = 3,981.95

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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.