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Finding the Fourth Proportional to 8,145.87, 11,242.51 and 5,161.98

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Solution

The fourth proportional to 8,145.87, 11,242.51 and 5,161.98 is: 7,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.87 : 11,242.51 = 5,161.98 : x
  2. Step 2: Convert to fraction form
    8,145.87/11,242.51 = 5,161.98/x
  3. Step 3: Cross multiply
    8,145.87x = 11,242.51 × 5,161.98
  4. Step 4: Simplify right side
    8,145.87x = 58,033,598.86
  5. Step 5: Solve for x
    x = 58,033,598.86/8,145.87
  6. Step 6: Final answer
    x = 7,124.29

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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.