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Finding the Fourth Proportional to 7,804.56, 11,723.16 and 6,634.38

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Solution

The fourth proportional to 7,804.56, 11,723.16 and 6,634.38 is: 9,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.56 : 11,723.16 = 6,634.38 : x
  2. Step 2: Convert to fraction form
    7,804.56/11,723.16 = 6,634.38/x
  3. Step 3: Cross multiply
    7,804.56x = 11,723.16 × 6,634.38
  4. Step 4: Simplify right side
    7,804.56x = 77,775,898.24
  5. Step 5: Solve for x
    x = 77,775,898.24/7,804.56
  6. Step 6: Final answer
    x = 9,965.44

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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.