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Finding the Fourth Proportional to 10,464.31, 15,662.44 and 7,690.33

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Solution

The fourth proportional to 10,464.31, 15,662.44 and 7,690.33 is: 11,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.31 : 15,662.44 = 7,690.33 : x
  2. Step 2: Convert to fraction form
    10,464.31/15,662.44 = 7,690.33/x
  3. Step 3: Cross multiply
    10,464.31x = 15,662.44 × 7,690.33
  4. Step 4: Simplify right side
    10,464.31x = 120,449,332.21
  5. Step 5: Solve for x
    x = 120,449,332.21/10,464.31
  6. Step 6: Final answer
    x = 11,510.49

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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.