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Finding the Fourth Proportional to 7,561.57, 10,434.17 and 4,203.84

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Solution

The fourth proportional to 7,561.57, 10,434.17 and 4,203.84 is: 5,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.57 : 10,434.17 = 4,203.84 : x
  2. Step 2: Convert to fraction form
    7,561.57/10,434.17 = 4,203.84/x
  3. Step 3: Cross multiply
    7,561.57x = 10,434.17 × 4,203.84
  4. Step 4: Simplify right side
    7,561.57x = 43,863,581.21
  5. Step 5: Solve for x
    x = 43,863,581.21/7,561.57
  6. Step 6: Final answer
    x = 5,800.86

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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.