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Finding the Fourth Proportional to 11,537.47, 17,207.69 and 9,793.93

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Solution

The fourth proportional to 11,537.47, 17,207.69 and 9,793.93 is: 14,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.47 : 17,207.69 = 9,793.93 : x
  2. Step 2: Convert to fraction form
    11,537.47/17,207.69 = 9,793.93/x
  3. Step 3: Cross multiply
    11,537.47x = 17,207.69 × 9,793.93
  4. Step 4: Simplify right side
    11,537.47x = 168,530,911.32
  5. Step 5: Solve for x
    x = 168,530,911.32/11,537.47
  6. Step 6: Final answer
    x = 14,607.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.