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Finding the Fourth Proportional to 7,876.44, 11,814.45 and 3,715.44

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Solution

The fourth proportional to 7,876.44, 11,814.45 and 3,715.44 is: 5,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.44 : 11,814.45 = 3,715.44 : x
  2. Step 2: Convert to fraction form
    7,876.44/11,814.45 = 3,715.44/x
  3. Step 3: Cross multiply
    7,876.44x = 11,814.45 × 3,715.44
  4. Step 4: Simplify right side
    7,876.44x = 43,895,880.11
  5. Step 5: Solve for x
    x = 43,895,880.11/7,876.44
  6. Step 6: Final answer
    x = 5,573.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.