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Finding the Fourth Proportional to 10,898.96, 15,040.42 and 6,422.90

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Solution

The fourth proportional to 10,898.96, 15,040.42 and 6,422.90 is: 8,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.96 : 15,040.42 = 6,422.90 : x
  2. Step 2: Convert to fraction form
    10,898.96/15,040.42 = 6,422.90/x
  3. Step 3: Cross multiply
    10,898.96x = 15,040.42 × 6,422.90
  4. Step 4: Simplify right side
    10,898.96x = 96,603,022.36
  5. Step 5: Solve for x
    x = 96,603,022.36/10,898.96
  6. Step 6: Final answer
    x = 8,863.51

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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.