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Finding the Fourth Proportional to 7,468.36, 10,304.67 and 4,322.72

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Solution

The fourth proportional to 7,468.36, 10,304.67 and 4,322.72 is: 5,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.36 : 10,304.67 = 4,322.72 : x
  2. Step 2: Convert to fraction form
    7,468.36/10,304.67 = 4,322.72/x
  3. Step 3: Cross multiply
    7,468.36x = 10,304.67 × 4,322.72
  4. Step 4: Simplify right side
    7,468.36x = 44,544,228.86
  5. Step 5: Solve for x
    x = 44,544,228.86/7,468.36
  6. Step 6: Final answer
    x = 5,964.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.