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Finding the Fourth Proportional to 7,408.62, 10,223.91 and 4,051.35

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Solution

The fourth proportional to 7,408.62, 10,223.91 and 4,051.35 is: 5,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.62 : 10,223.91 = 4,051.35 : x
  2. Step 2: Convert to fraction form
    7,408.62/10,223.91 = 4,051.35/x
  3. Step 3: Cross multiply
    7,408.62x = 10,223.91 × 4,051.35
  4. Step 4: Simplify right side
    7,408.62x = 41,420,637.78
  5. Step 5: Solve for x
    x = 41,420,637.78/7,408.62
  6. Step 6: Final answer
    x = 5,590.87

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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.