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Finding the Fourth Proportional to 7,838.94, 11,757.51 and 3,158.76

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Solution

The fourth proportional to 7,838.94, 11,757.51 and 3,158.76 is: 4,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.94 : 11,757.51 = 3,158.76 : x
  2. Step 2: Convert to fraction form
    7,838.94/11,757.51 = 3,158.76/x
  3. Step 3: Cross multiply
    7,838.94x = 11,757.51 × 3,158.76
  4. Step 4: Simplify right side
    7,838.94x = 37,139,152.29
  5. Step 5: Solve for x
    x = 37,139,152.29/7,838.94
  6. Step 6: Final answer
    x = 4,737.78

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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.