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Finding the Fourth Proportional to 7,321.66, 10,103.40 and 4,135.46

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Solution

The fourth proportional to 7,321.66, 10,103.40 and 4,135.46 is: 5,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.66 : 10,103.40 = 4,135.46 : x
  2. Step 2: Convert to fraction form
    7,321.66/10,103.40 = 4,135.46/x
  3. Step 3: Cross multiply
    7,321.66x = 10,103.40 × 4,135.46
  4. Step 4: Simplify right side
    7,321.66x = 41,782,156.05
  5. Step 5: Solve for x
    x = 41,782,156.05/7,321.66
  6. Step 6: Final answer
    x = 5,706.65

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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.