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Finding the Fourth Proportional to 7,156.89, 10,742.22 and 3,876.93

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Solution

The fourth proportional to 7,156.89, 10,742.22 and 3,876.93 is: 5,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.89 : 10,742.22 = 3,876.93 : x
  2. Step 2: Convert to fraction form
    7,156.89/10,742.22 = 3,876.93/x
  3. Step 3: Cross multiply
    7,156.89x = 10,742.22 × 3,876.93
  4. Step 4: Simplify right side
    7,156.89x = 41,646,834.98
  5. Step 5: Solve for x
    x = 41,646,834.98/7,156.89
  6. Step 6: Final answer
    x = 5,819.12

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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.