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Finding the Fourth Proportional to 7,467.32, 10,294.54 and 5,959.96

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Solution

The fourth proportional to 7,467.32, 10,294.54 and 5,959.96 is: 8,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.32 : 10,294.54 = 5,959.96 : x
  2. Step 2: Convert to fraction form
    7,467.32/10,294.54 = 5,959.96/x
  3. Step 3: Cross multiply
    7,467.32x = 10,294.54 × 5,959.96
  4. Step 4: Simplify right side
    7,467.32x = 61,355,005.98
  5. Step 5: Solve for x
    x = 61,355,005.98/7,467.32
  6. Step 6: Final answer
    x = 8,216.47

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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.