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Finding the Fourth Proportional to 7,586.36, 10,468.64 and 4,229.36

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Solution

The fourth proportional to 7,586.36, 10,468.64 and 4,229.36 is: 5,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.36 : 10,468.64 = 4,229.36 : x
  2. Step 2: Convert to fraction form
    7,586.36/10,468.64 = 4,229.36/x
  3. Step 3: Cross multiply
    7,586.36x = 10,468.64 × 4,229.36
  4. Step 4: Simplify right side
    7,586.36x = 44,275,644.76
  5. Step 5: Solve for x
    x = 44,275,644.76/7,586.36
  6. Step 6: Final answer
    x = 5,836.22

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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.