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Finding the Fourth Proportional to 7,408.84, 10,227.92 and 5,726.45

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Solution

The fourth proportional to 7,408.84, 10,227.92 and 5,726.45 is: 7,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.84 : 10,227.92 = 5,726.45 : x
  2. Step 2: Convert to fraction form
    7,408.84/10,227.92 = 5,726.45/x
  3. Step 3: Cross multiply
    7,408.84x = 10,227.92 × 5,726.45
  4. Step 4: Simplify right side
    7,408.84x = 58,569,646.91
  5. Step 5: Solve for x
    x = 58,569,646.91/7,408.84
  6. Step 6: Final answer
    x = 7,905.37

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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.