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Finding the Fourth Proportional to 8,312.45, 12,467.13 and 2,765.16

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Solution

The fourth proportional to 8,312.45, 12,467.13 and 2,765.16 is: 4,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.45 : 12,467.13 = 2,765.16 : x
  2. Step 2: Convert to fraction form
    8,312.45/12,467.13 = 2,765.16/x
  3. Step 3: Cross multiply
    8,312.45x = 12,467.13 × 2,765.16
  4. Step 4: Simplify right side
    8,312.45x = 34,473,609.19
  5. Step 5: Solve for x
    x = 34,473,609.19/8,312.45
  6. Step 6: Final answer
    x = 4,147.23

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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.