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Finding the Fourth Proportional to 10,142.50, 13,996.92 and 6,611.98

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Solution

The fourth proportional to 10,142.50, 13,996.92 and 6,611.98 is: 9,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.50 : 13,996.92 = 6,611.98 : x
  2. Step 2: Convert to fraction form
    10,142.50/13,996.92 = 6,611.98/x
  3. Step 3: Cross multiply
    10,142.50x = 13,996.92 × 6,611.98
  4. Step 4: Simplify right side
    10,142.50x = 92,547,355.10
  5. Step 5: Solve for x
    x = 92,547,355.10/10,142.50
  6. Step 6: Final answer
    x = 9,124.71

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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.