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Finding the Fourth Proportional to 11,538.35, 17,307.53 and 3,747.17

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Solution

The fourth proportional to 11,538.35, 17,307.53 and 3,747.17 is: 5,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.35 : 17,307.53 = 3,747.17 : x
  2. Step 2: Convert to fraction form
    11,538.35/17,307.53 = 3,747.17/x
  3. Step 3: Cross multiply
    11,538.35x = 17,307.53 × 3,747.17
  4. Step 4: Simplify right side
    11,538.35x = 64,854,180.02
  5. Step 5: Solve for x
    x = 64,854,180.02/11,538.35
  6. Step 6: Final answer
    x = 5,620.75

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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.