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Finding the Fourth Proportional to 7,406.24, 11,103.86 and 4,483.84

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Solution

The fourth proportional to 7,406.24, 11,103.86 and 4,483.84 is: 6,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.24 : 11,103.86 = 4,483.84 : x
  2. Step 2: Convert to fraction form
    7,406.24/11,103.86 = 4,483.84/x
  3. Step 3: Cross multiply
    7,406.24x = 11,103.86 × 4,483.84
  4. Step 4: Simplify right side
    7,406.24x = 49,787,931.62
  5. Step 5: Solve for x
    x = 49,787,931.62/7,406.24
  6. Step 6: Final answer
    x = 6,722.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.