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Finding the Fourth Proportional to 7,408.78, 10,225.06 and 4,223.21

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Solution

The fourth proportional to 7,408.78, 10,225.06 and 4,223.21 is: 5,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.78 : 10,225.06 = 4,223.21 : x
  2. Step 2: Convert to fraction form
    7,408.78/10,225.06 = 4,223.21/x
  3. Step 3: Cross multiply
    7,408.78x = 10,225.06 × 4,223.21
  4. Step 4: Simplify right side
    7,408.78x = 43,182,575.64
  5. Step 5: Solve for x
    x = 43,182,575.64/7,408.78
  6. Step 6: Final answer
    x = 5,828.57

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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.