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Finding the Fourth Proportional to 11,574.51, 17,338.63 and 5,325.96

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Solution

The fourth proportional to 11,574.51, 17,338.63 and 5,325.96 is: 7,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.51 : 17,338.63 = 5,325.96 : x
  2. Step 2: Convert to fraction form
    11,574.51/17,338.63 = 5,325.96/x
  3. Step 3: Cross multiply
    11,574.51x = 17,338.63 × 5,325.96
  4. Step 4: Simplify right side
    11,574.51x = 92,344,849.83
  5. Step 5: Solve for x
    x = 92,344,849.83/11,574.51
  6. Step 6: Final answer
    x = 7,978.29

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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.