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Finding the Fourth Proportional to 10,906.93, 15,051.16 and 6,665.09

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Solution

The fourth proportional to 10,906.93, 15,051.16 and 6,665.09 is: 9,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.93 : 15,051.16 = 6,665.09 : x
  2. Step 2: Convert to fraction form
    10,906.93/15,051.16 = 6,665.09/x
  3. Step 3: Cross multiply
    10,906.93x = 15,051.16 × 6,665.09
  4. Step 4: Simplify right side
    10,906.93x = 100,317,333.11
  5. Step 5: Solve for x
    x = 100,317,333.11/10,906.93
  6. Step 6: Final answer
    x = 9,197.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.