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Finding the Fourth Proportional to 7,998.53, 11,037.74 and 4,461.66

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Solution

The fourth proportional to 7,998.53, 11,037.74 and 4,461.66 is: 6,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.53 : 11,037.74 = 4,461.66 : x
  2. Step 2: Convert to fraction form
    7,998.53/11,037.74 = 4,461.66/x
  3. Step 3: Cross multiply
    7,998.53x = 11,037.74 × 4,461.66
  4. Step 4: Simplify right side
    7,998.53x = 49,246,620.74
  5. Step 5: Solve for x
    x = 49,246,620.74/7,998.53
  6. Step 6: Final answer
    x = 6,156.96

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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.