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Finding the Fourth Proportional to 10,045.98, 15,078.31 and 5,119.31

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Solution

The fourth proportional to 10,045.98, 15,078.31 and 5,119.31 is: 7,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.98 : 15,078.31 = 5,119.31 : x
  2. Step 2: Convert to fraction form
    10,045.98/15,078.31 = 5,119.31/x
  3. Step 3: Cross multiply
    10,045.98x = 15,078.31 × 5,119.31
  4. Step 4: Simplify right side
    10,045.98x = 77,190,568.06
  5. Step 5: Solve for x
    x = 77,190,568.06/10,045.98
  6. Step 6: Final answer
    x = 7,683.73

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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.