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Finding the Fourth Proportional to 7,849.70, 11,776.17 and 2,303.22

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Solution

The fourth proportional to 7,849.70, 11,776.17 and 2,303.22 is: 3,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.70 : 11,776.17 = 2,303.22 : x
  2. Step 2: Convert to fraction form
    7,849.70/11,776.17 = 2,303.22/x
  3. Step 3: Cross multiply
    7,849.70x = 11,776.17 × 2,303.22
  4. Step 4: Simplify right side
    7,849.70x = 27,123,110.27
  5. Step 5: Solve for x
    x = 27,123,110.27/7,849.70
  6. Step 6: Final answer
    x = 3,455.31

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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.