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Finding the Fourth Proportional to 8,461.17, 12,694.59 and 2,918.34

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Solution

The fourth proportional to 8,461.17, 12,694.59 and 2,918.34 is: 4,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.17 : 12,694.59 = 2,918.34 : x
  2. Step 2: Convert to fraction form
    8,461.17/12,694.59 = 2,918.34/x
  3. Step 3: Cross multiply
    8,461.17x = 12,694.59 × 2,918.34
  4. Step 4: Simplify right side
    8,461.17x = 37,047,129.78
  5. Step 5: Solve for x
    x = 37,047,129.78/8,461.17
  6. Step 6: Final answer
    x = 4,378.49

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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.