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Finding the Fourth Proportional to 7,561.30, 11,342.63 and 3,866.64

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Solution

The fourth proportional to 7,561.30, 11,342.63 and 3,866.64 is: 5,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.30 : 11,342.63 = 3,866.64 : x
  2. Step 2: Convert to fraction form
    7,561.30/11,342.63 = 3,866.64/x
  3. Step 3: Cross multiply
    7,561.30x = 11,342.63 × 3,866.64
  4. Step 4: Simplify right side
    7,561.30x = 43,857,833.99
  5. Step 5: Solve for x
    x = 43,857,833.99/7,561.30
  6. Step 6: Final answer
    x = 5,800.30

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