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Finding the Fourth Proportional to 8,231.10, 12,346.65 and 5,606.70

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Solution

The fourth proportional to 8,231.10, 12,346.65 and 5,606.70 is: 8,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.10 : 12,346.65 = 5,606.70 : x
  2. Step 2: Convert to fraction form
    8,231.10/12,346.65 = 5,606.70/x
  3. Step 3: Cross multiply
    8,231.10x = 12,346.65 × 5,606.70
  4. Step 4: Simplify right side
    8,231.10x = 69,223,962.56
  5. Step 5: Solve for x
    x = 69,223,962.56/8,231.10
  6. Step 6: Final answer
    x = 8,410.05

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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.