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Finding the Fourth Proportional to 7,408.24, 10,218.93 and 4,890.40

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Solution

The fourth proportional to 7,408.24, 10,218.93 and 4,890.40 is: 6,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.24 : 10,218.93 = 4,890.40 : x
  2. Step 2: Convert to fraction form
    7,408.24/10,218.93 = 4,890.40/x
  3. Step 3: Cross multiply
    7,408.24x = 10,218.93 × 4,890.40
  4. Step 4: Simplify right side
    7,408.24x = 49,974,655.27
  5. Step 5: Solve for x
    x = 49,974,655.27/7,408.24
  6. Step 6: Final answer
    x = 6,745.82

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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.