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Finding the Fourth Proportional to 11,555.96, 17,299.92 and 7,159.28

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Solution

The fourth proportional to 11,555.96, 17,299.92 and 7,159.28 is: 10,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.96 : 17,299.92 = 7,159.28 : x
  2. Step 2: Convert to fraction form
    11,555.96/17,299.92 = 7,159.28/x
  3. Step 3: Cross multiply
    11,555.96x = 17,299.92 × 7,159.28
  4. Step 4: Simplify right side
    11,555.96x = 123,854,971.26
  5. Step 5: Solve for x
    x = 123,854,971.26/11,555.96
  6. Step 6: Final answer
    x = 10,717.84

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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.