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Finding the Fourth Proportional to 8,494.96, 12,742.59 and 2,948.47

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Solution

The fourth proportional to 8,494.96, 12,742.59 and 2,948.47 is: 4,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.96 : 12,742.59 = 2,948.47 : x
  2. Step 2: Convert to fraction form
    8,494.96/12,742.59 = 2,948.47/x
  3. Step 3: Cross multiply
    8,494.96x = 12,742.59 × 2,948.47
  4. Step 4: Simplify right side
    8,494.96x = 37,571,144.34
  5. Step 5: Solve for x
    x = 37,571,144.34/8,494.96
  6. Step 6: Final answer
    x = 4,422.76

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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.