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Finding the Fourth Proportional to 7,321.32, 10,102.32 and 4,177.08

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Solution

The fourth proportional to 7,321.32, 10,102.32 and 4,177.08 is: 5,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.32 : 10,102.32 = 4,177.08 : x
  2. Step 2: Convert to fraction form
    7,321.32/10,102.32 = 4,177.08/x
  3. Step 3: Cross multiply
    7,321.32x = 10,102.32 × 4,177.08
  4. Step 4: Simplify right side
    7,321.32x = 42,198,198.83
  5. Step 5: Solve for x
    x = 42,198,198.83/7,321.32
  6. Step 6: Final answer
    x = 5,763.74

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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.