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Finding the Fourth Proportional to 8,383.12, 12,574.60 and 5,097.12

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Solution

The fourth proportional to 8,383.12, 12,574.60 and 5,097.12 is: 7,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.12 : 12,574.60 = 5,097.12 : x
  2. Step 2: Convert to fraction form
    8,383.12/12,574.60 = 5,097.12/x
  3. Step 3: Cross multiply
    8,383.12x = 12,574.60 × 5,097.12
  4. Step 4: Simplify right side
    8,383.12x = 64,094,245.15
  5. Step 5: Solve for x
    x = 64,094,245.15/8,383.12
  6. Step 6: Final answer
    x = 7,645.63

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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.