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Finding the Fourth Proportional to 10,427.41, 15,640.98 and 2,529.98

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Solution

The fourth proportional to 10,427.41, 15,640.98 and 2,529.98 is: 3,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.41 : 15,640.98 = 2,529.98 : x
  2. Step 2: Convert to fraction form
    10,427.41/15,640.98 = 2,529.98/x
  3. Step 3: Cross multiply
    10,427.41x = 15,640.98 × 2,529.98
  4. Step 4: Simplify right side
    10,427.41x = 39,571,434.42
  5. Step 5: Solve for x
    x = 39,571,434.42/10,427.41
  6. Step 6: Final answer
    x = 3,794.94

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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.