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Finding the Fourth Proportional to 11,445.84, 17,163.45 and 5,205.60

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Solution

The fourth proportional to 11,445.84, 17,163.45 and 5,205.60 is: 7,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.84 : 17,163.45 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    11,445.84/17,163.45 = 5,205.60/x
  3. Step 3: Cross multiply
    11,445.84x = 17,163.45 × 5,205.60
  4. Step 4: Simplify right side
    11,445.84x = 89,346,055.32
  5. Step 5: Solve for x
    x = 89,346,055.32/11,445.84
  6. Step 6: Final answer
    x = 7,805.98

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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.