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Finding the Fourth Proportional to 11,447.68, 17,156.40 and 5,208.52

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Solution

The fourth proportional to 11,447.68, 17,156.40 and 5,208.52 is: 7,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.68 : 17,156.40 = 5,208.52 : x
  2. Step 2: Convert to fraction form
    11,447.68/17,156.40 = 5,208.52/x
  3. Step 3: Cross multiply
    11,447.68x = 17,156.40 × 5,208.52
  4. Step 4: Simplify right side
    11,447.68x = 89,359,452.53
  5. Step 5: Solve for x
    x = 89,359,452.53/11,447.68
  6. Step 6: Final answer
    x = 7,805.90

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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.