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Finding the Fourth Proportional to 8,309.40, 12,465.30 and 2,465.24

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Solution

The fourth proportional to 8,309.40, 12,465.30 and 2,465.24 is: 3,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.40 : 12,465.30 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    8,309.40/12,465.30 = 2,465.24/x
  3. Step 3: Cross multiply
    8,309.40x = 12,465.30 × 2,465.24
  4. Step 4: Simplify right side
    8,309.40x = 30,729,956.17
  5. Step 5: Solve for x
    x = 30,729,956.17/8,309.40
  6. Step 6: Final answer
    x = 3,698.22

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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.