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Finding the Fourth Proportional to 7,856.67, 11,769.42 and 4,737.51

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Solution

The fourth proportional to 7,856.67, 11,769.42 and 4,737.51 is: 7,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.67 : 11,769.42 = 4,737.51 : x
  2. Step 2: Convert to fraction form
    7,856.67/11,769.42 = 4,737.51/x
  3. Step 3: Cross multiply
    7,856.67x = 11,769.42 × 4,737.51
  4. Step 4: Simplify right side
    7,856.67x = 55,757,744.94
  5. Step 5: Solve for x
    x = 55,757,744.94/7,856.67
  6. Step 6: Final answer
    x = 7,096.87

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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.