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Finding the Fourth Proportional to 7,157.30, 10,738.38 and 6,467.18

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Solution

The fourth proportional to 7,157.30, 10,738.38 and 6,467.18 is: 9,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.30 : 10,738.38 = 6,467.18 : x
  2. Step 2: Convert to fraction form
    7,157.30/10,738.38 = 6,467.18/x
  3. Step 3: Cross multiply
    7,157.30x = 10,738.38 × 6,467.18
  4. Step 4: Simplify right side
    7,157.30x = 69,447,036.37
  5. Step 5: Solve for x
    x = 69,447,036.37/7,157.30
  6. Step 6: Final answer
    x = 9,702.97

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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.