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Finding the Fourth Proportional to 8,261.58, 12,394.20 and 2,417.70

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Solution

The fourth proportional to 8,261.58, 12,394.20 and 2,417.70 is: 3,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.58 : 12,394.20 = 2,417.70 : x
  2. Step 2: Convert to fraction form
    8,261.58/12,394.20 = 2,417.70/x
  3. Step 3: Cross multiply
    8,261.58x = 12,394.20 × 2,417.70
  4. Step 4: Simplify right side
    8,261.58x = 29,965,457.34
  5. Step 5: Solve for x
    x = 29,965,457.34/8,261.58
  6. Step 6: Final answer
    x = 3,627.09

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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.