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Finding the Fourth Proportional to 7,586.44, 10,463.22 and 5,228.04

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Solution

The fourth proportional to 7,586.44, 10,463.22 and 5,228.04 is: 7,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.44 : 10,463.22 = 5,228.04 : x
  2. Step 2: Convert to fraction form
    7,586.44/10,463.22 = 5,228.04/x
  3. Step 3: Cross multiply
    7,586.44x = 10,463.22 × 5,228.04
  4. Step 4: Simplify right side
    7,586.44x = 54,702,132.69
  5. Step 5: Solve for x
    x = 54,702,132.69/7,586.44
  6. Step 6: Final answer
    x = 7,210.51

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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.