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Finding the Fourth Proportional to 7,561.63, 11,344.76 and 3,866.46

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Solution

The fourth proportional to 7,561.63, 11,344.76 and 3,866.46 is: 5,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.63 : 11,344.76 = 3,866.46 : x
  2. Step 2: Convert to fraction form
    7,561.63/11,344.76 = 3,866.46/x
  3. Step 3: Cross multiply
    7,561.63x = 11,344.76 × 3,866.46
  4. Step 4: Simplify right side
    7,561.63x = 43,864,013.13
  5. Step 5: Solve for x
    x = 43,864,013.13/7,561.63
  6. Step 6: Final answer
    x = 5,800.87

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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.