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Finding the Fourth Proportional to 10,442.37, 15,664.37 and 3,868.62

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Solution

The fourth proportional to 10,442.37, 15,664.37 and 3,868.62 is: 5,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.37 : 15,664.37 = 3,868.62 : x
  2. Step 2: Convert to fraction form
    10,442.37/15,664.37 = 3,868.62/x
  3. Step 3: Cross multiply
    10,442.37x = 15,664.37 × 3,868.62
  4. Step 4: Simplify right side
    10,442.37x = 60,599,475.73
  5. Step 5: Solve for x
    x = 60,599,475.73/10,442.37
  6. Step 6: Final answer
    x = 5,803.23

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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.