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Finding the Fourth Proportional to 10,012.95, 14,991.74 and 7,540.28

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Solution

The fourth proportional to 10,012.95, 14,991.74 and 7,540.28 is: 11,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.95 : 14,991.74 = 7,540.28 : x
  2. Step 2: Convert to fraction form
    10,012.95/14,991.74 = 7,540.28/x
  3. Step 3: Cross multiply
    10,012.95x = 14,991.74 × 7,540.28
  4. Step 4: Simplify right side
    10,012.95x = 113,041,861.18
  5. Step 5: Solve for x
    x = 113,041,861.18/10,012.95
  6. Step 6: Final answer
    x = 11,289.57

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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.