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Finding the Fourth Proportional to 8,434.16, 12,653.04 and 2,591.24

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Solution

The fourth proportional to 8,434.16, 12,653.04 and 2,591.24 is: 3,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.16 : 12,653.04 = 2,591.24 : x
  2. Step 2: Convert to fraction form
    8,434.16/12,653.04 = 2,591.24/x
  3. Step 3: Cross multiply
    8,434.16x = 12,653.04 × 2,591.24
  4. Step 4: Simplify right side
    8,434.16x = 32,787,063.37
  5. Step 5: Solve for x
    x = 32,787,063.37/8,434.16
  6. Step 6: Final answer
    x = 3,887.41

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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.