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Finding the Fourth Proportional to 10,797.59, 16,206.42 and 5,536.40

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Solution

The fourth proportional to 10,797.59, 16,206.42 and 5,536.40 is: 8,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.59 : 16,206.42 = 5,536.40 : x
  2. Step 2: Convert to fraction form
    10,797.59/16,206.42 = 5,536.40/x
  3. Step 3: Cross multiply
    10,797.59x = 16,206.42 × 5,536.40
  4. Step 4: Simplify right side
    10,797.59x = 89,725,142.66
  5. Step 5: Solve for x
    x = 89,725,142.66/10,797.59
  6. Step 6: Final answer
    x = 8,309.74

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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.