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Finding the Fourth Proportional to 7,468.36, 11,184.04 and 4,338.86

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Solution

The fourth proportional to 7,468.36, 11,184.04 and 4,338.86 is: 6,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.36 : 11,184.04 = 4,338.86 : x
  2. Step 2: Convert to fraction form
    7,468.36/11,184.04 = 4,338.86/x
  3. Step 3: Cross multiply
    7,468.36x = 11,184.04 × 4,338.86
  4. Step 4: Simplify right side
    7,468.36x = 48,525,983.79
  5. Step 5: Solve for x
    x = 48,525,983.79/7,468.36
  6. Step 6: Final answer
    x = 6,497.54

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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.