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Finding the Fourth Proportional to 8,300.08, 12,452.32 and 3,106

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Solution

The fourth proportional to 8,300.08, 12,452.32 and 3,106 is: 4,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.08 : 12,452.32 = 3,106 : x
  2. Step 2: Convert to fraction form
    8,300.08/12,452.32 = 3,106/x
  3. Step 3: Cross multiply
    8,300.08x = 12,452.32 × 3,106
  4. Step 4: Simplify right side
    8,300.08x = 38,676,905.92
  5. Step 5: Solve for x
    x = 38,676,905.92/8,300.08
  6. Step 6: Final answer
    x = 4,659.82

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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.