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Finding the Fourth Proportional to 8,310.24, 12,465.12 and 2,154.24

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Solution

The fourth proportional to 8,310.24, 12,465.12 and 2,154.24 is: 3,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.24 : 12,465.12 = 2,154.24 : x
  2. Step 2: Convert to fraction form
    8,310.24/12,465.12 = 2,154.24/x
  3. Step 3: Cross multiply
    8,310.24x = 12,465.12 × 2,154.24
  4. Step 4: Simplify right side
    8,310.24x = 26,852,860.11
  5. Step 5: Solve for x
    x = 26,852,860.11/8,310.24
  6. Step 6: Final answer
    x = 3,231.30

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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.