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Finding the Fourth Proportional to 7,671.05, 11,521.16 and 4,769.63

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Solution

The fourth proportional to 7,671.05, 11,521.16 and 4,769.63 is: 7,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.05 : 11,521.16 = 4,769.63 : x
  2. Step 2: Convert to fraction form
    7,671.05/11,521.16 = 4,769.63/x
  3. Step 3: Cross multiply
    7,671.05x = 11,521.16 × 4,769.63
  4. Step 4: Simplify right side
    7,671.05x = 54,951,588.92
  5. Step 5: Solve for x
    x = 54,951,588.92/7,671.05
  6. Step 6: Final answer
    x = 7,163.51

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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.