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Finding the Fourth Proportional to 11,691.51, 17,538.71 and 3,898.59

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Solution

The fourth proportional to 11,691.51, 17,538.71 and 3,898.59 is: 5,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.51 : 17,538.71 = 3,898.59 : x
  2. Step 2: Convert to fraction form
    11,691.51/17,538.71 = 3,898.59/x
  3. Step 3: Cross multiply
    11,691.51x = 17,538.71 × 3,898.59
  4. Step 4: Simplify right side
    11,691.51x = 68,376,219.93
  5. Step 5: Solve for x
    x = 68,376,219.93/11,691.51
  6. Step 6: Final answer
    x = 5,848.37

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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.