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Finding the Fourth Proportional to 11,431.87, 15,767.12 and 7,653.83

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Solution

The fourth proportional to 11,431.87, 15,767.12 and 7,653.83 is: 10,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.87 : 15,767.12 = 7,653.83 : x
  2. Step 2: Convert to fraction form
    11,431.87/15,767.12 = 7,653.83/x
  3. Step 3: Cross multiply
    11,431.87x = 15,767.12 × 7,653.83
  4. Step 4: Simplify right side
    11,431.87x = 120,678,796.37
  5. Step 5: Solve for x
    x = 120,678,796.37/11,431.87
  6. Step 6: Final answer
    x = 10,556.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.