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Finding the Fourth Proportional to 7,644.25, 10,549.11 and 4,502.26

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Solution

The fourth proportional to 7,644.25, 10,549.11 and 4,502.26 is: 6,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.25 : 10,549.11 = 4,502.26 : x
  2. Step 2: Convert to fraction form
    7,644.25/10,549.11 = 4,502.26/x
  3. Step 3: Cross multiply
    7,644.25x = 10,549.11 × 4,502.26
  4. Step 4: Simplify right side
    7,644.25x = 47,494,835.99
  5. Step 5: Solve for x
    x = 47,494,835.99/7,644.25
  6. Step 6: Final answer
    x = 6,213.15

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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.