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Finding the Fourth Proportional to 8,337.42, 12,511.05 and 3,076.14

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Solution

The fourth proportional to 8,337.42, 12,511.05 and 3,076.14 is: 4,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.42 : 12,511.05 = 3,076.14 : x
  2. Step 2: Convert to fraction form
    8,337.42/12,511.05 = 3,076.14/x
  3. Step 3: Cross multiply
    8,337.42x = 12,511.05 × 3,076.14
  4. Step 4: Simplify right side
    8,337.42x = 38,485,741.35
  5. Step 5: Solve for x
    x = 38,485,741.35/8,337.42
  6. Step 6: Final answer
    x = 4,616.03

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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.