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Finding the Fourth Proportional to 7,997.63, 11,037.21 and 4,412.57

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Solution

The fourth proportional to 7,997.63, 11,037.21 and 4,412.57 is: 6,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.63 : 11,037.21 = 4,412.57 : x
  2. Step 2: Convert to fraction form
    7,997.63/11,037.21 = 4,412.57/x
  3. Step 3: Cross multiply
    7,997.63x = 11,037.21 × 4,412.57
  4. Step 4: Simplify right side
    7,997.63x = 48,702,406.54
  5. Step 5: Solve for x
    x = 48,702,406.54/7,997.63
  6. Step 6: Final answer
    x = 6,089.61

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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.