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Finding the Fourth Proportional to 10,078.41, 15,116.81 and 6,369.83

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Solution

The fourth proportional to 10,078.41, 15,116.81 and 6,369.83 is: 9,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.41 : 15,116.81 = 6,369.83 : x
  2. Step 2: Convert to fraction form
    10,078.41/15,116.81 = 6,369.83/x
  3. Step 3: Cross multiply
    10,078.41x = 15,116.81 × 6,369.83
  4. Step 4: Simplify right side
    10,078.41x = 96,291,402.41
  5. Step 5: Solve for x
    x = 96,291,402.41/10,078.41
  6. Step 6: Final answer
    x = 9,554.23

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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.