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Finding the Fourth Proportional to 10,293.83, 15,442.94 and 3,968.87

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Solution

The fourth proportional to 10,293.83, 15,442.94 and 3,968.87 is: 5,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.83 : 15,442.94 = 3,968.87 : x
  2. Step 2: Convert to fraction form
    10,293.83/15,442.94 = 3,968.87/x
  3. Step 3: Cross multiply
    10,293.83x = 15,442.94 × 3,968.87
  4. Step 4: Simplify right side
    10,293.83x = 61,291,040.04
  5. Step 5: Solve for x
    x = 61,291,040.04/10,293.83
  6. Step 6: Final answer
    x = 5,954.15

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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.