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Finding the Fourth Proportional to 10,797.96, 16,205.58 and 5,605.32

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Solution

The fourth proportional to 10,797.96, 16,205.58 and 5,605.32 is: 8,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.96 : 16,205.58 = 5,605.32 : x
  2. Step 2: Convert to fraction form
    10,797.96/16,205.58 = 5,605.32/x
  3. Step 3: Cross multiply
    10,797.96x = 16,205.58 × 5,605.32
  4. Step 4: Simplify right side
    10,797.96x = 90,837,461.69
  5. Step 5: Solve for x
    x = 90,837,461.69/10,797.96
  6. Step 6: Final answer
    x = 8,412.47

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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.