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Finding the Fourth Proportional to 8,495.40, 12,742.38 and 3,815.64

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Solution

The fourth proportional to 8,495.40, 12,742.38 and 3,815.64 is: 5,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.40 : 12,742.38 = 3,815.64 : x
  2. Step 2: Convert to fraction form
    8,495.40/12,742.38 = 3,815.64/x
  3. Step 3: Cross multiply
    8,495.40x = 12,742.38 × 3,815.64
  4. Step 4: Simplify right side
    8,495.40x = 48,620,334.82
  5. Step 5: Solve for x
    x = 48,620,334.82/8,495.40
  6. Step 6: Final answer
    x = 5,723.14

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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.