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Finding the Fourth Proportional to 8,345.62, 11,516.96 and 5,201.82

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Solution

The fourth proportional to 8,345.62, 11,516.96 and 5,201.82 is: 7,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.62 : 11,516.96 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    8,345.62/11,516.96 = 5,201.82/x
  3. Step 3: Cross multiply
    8,345.62x = 11,516.96 × 5,201.82
  4. Step 4: Simplify right side
    8,345.62x = 59,909,152.87
  5. Step 5: Solve for x
    x = 59,909,152.87/8,345.62
  6. Step 6: Final answer
    x = 7,178.51

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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.