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Finding the Fourth Proportional to 7,901.64, 11,856.60 and 5,127.66

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Solution

The fourth proportional to 7,901.64, 11,856.60 and 5,127.66 is: 7,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.64 : 11,856.60 = 5,127.66 : x
  2. Step 2: Convert to fraction form
    7,901.64/11,856.60 = 5,127.66/x
  3. Step 3: Cross multiply
    7,901.64x = 11,856.60 × 5,127.66
  4. Step 4: Simplify right side
    7,901.64x = 60,796,613.56
  5. Step 5: Solve for x
    x = 60,796,613.56/7,901.64
  6. Step 6: Final answer
    x = 7,694.18

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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.