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Finding the Fourth Proportional to 11,677.72, 17,496.78 and 7,051

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Solution

The fourth proportional to 11,677.72, 17,496.78 and 7,051 is: 10,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.72 : 17,496.78 = 7,051 : x
  2. Step 2: Convert to fraction form
    11,677.72/17,496.78 = 7,051/x
  3. Step 3: Cross multiply
    11,677.72x = 17,496.78 × 7,051
  4. Step 4: Simplify right side
    11,677.72x = 123,369,795.78
  5. Step 5: Solve for x
    x = 123,369,795.78/11,677.72
  6. Step 6: Final answer
    x = 10,564.54

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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.