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Finding the Fourth Proportional to 10,024.94, 15,012.78 and 6,896.15

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Solution

The fourth proportional to 10,024.94, 15,012.78 and 6,896.15 is: 10,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.94 : 15,012.78 = 6,896.15 : x
  2. Step 2: Convert to fraction form
    10,024.94/15,012.78 = 6,896.15/x
  3. Step 3: Cross multiply
    10,024.94x = 15,012.78 × 6,896.15
  4. Step 4: Simplify right side
    10,024.94x = 103,530,307.73
  5. Step 5: Solve for x
    x = 103,530,307.73/10,024.94
  6. Step 6: Final answer
    x = 10,327.28

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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.