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Finding the Fourth Proportional to 7,408.93, 10,222.34 and 4,539.18

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Solution

The fourth proportional to 7,408.93, 10,222.34 and 4,539.18 is: 6,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.93 : 10,222.34 = 4,539.18 : x
  2. Step 2: Convert to fraction form
    7,408.93/10,222.34 = 4,539.18/x
  3. Step 3: Cross multiply
    7,408.93x = 10,222.34 × 4,539.18
  4. Step 4: Simplify right side
    7,408.93x = 46,401,041.28
  5. Step 5: Solve for x
    x = 46,401,041.28/7,408.93
  6. Step 6: Final answer
    x = 6,262.86

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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.