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Finding the Fourth Proportional to 8,434.91, 11,636.28 and 5,451.71

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Solution

The fourth proportional to 8,434.91, 11,636.28 and 5,451.71 is: 7,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.91 : 11,636.28 = 5,451.71 : x
  2. Step 2: Convert to fraction form
    8,434.91/11,636.28 = 5,451.71/x
  3. Step 3: Cross multiply
    8,434.91x = 11,636.28 × 5,451.71
  4. Step 4: Simplify right side
    8,434.91x = 63,437,581.19
  5. Step 5: Solve for x
    x = 63,437,581.19/8,434.91
  6. Step 6: Final answer
    x = 7,520.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.