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Finding the Fourth Proportional to 7,586.56, 10,469.49 and 4,229.58

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Solution

The fourth proportional to 7,586.56, 10,469.49 and 4,229.58 is: 5,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.56 : 10,469.49 = 4,229.58 : x
  2. Step 2: Convert to fraction form
    7,586.56/10,469.49 = 4,229.58/x
  3. Step 3: Cross multiply
    7,586.56x = 10,469.49 × 4,229.58
  4. Step 4: Simplify right side
    7,586.56x = 44,281,545.51
  5. Step 5: Solve for x
    x = 44,281,545.51/7,586.56
  6. Step 6: Final answer
    x = 5,836.84

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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.