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Finding the Fourth Proportional to 8,312.10, 12,443.85 and 8,069.10

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Solution

The fourth proportional to 8,312.10, 12,443.85 and 8,069.10 is: 12,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.10 : 12,443.85 = 8,069.10 : x
  2. Step 2: Convert to fraction form
    8,312.10/12,443.85 = 8,069.10/x
  3. Step 3: Cross multiply
    8,312.10x = 12,443.85 × 8,069.10
  4. Step 4: Simplify right side
    8,312.10x = 100,410,670.04
  5. Step 5: Solve for x
    x = 100,410,670.04/8,312.10
  6. Step 6: Final answer
    x = 12,080.06

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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.