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Finding the Fourth Proportional to 10,515.77, 15,754.51 and 6,119.90

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Solution

The fourth proportional to 10,515.77, 15,754.51 and 6,119.90 is: 9,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.77 : 15,754.51 = 6,119.90 : x
  2. Step 2: Convert to fraction form
    10,515.77/15,754.51 = 6,119.90/x
  3. Step 3: Cross multiply
    10,515.77x = 15,754.51 × 6,119.90
  4. Step 4: Simplify right side
    10,515.77x = 96,416,025.75
  5. Step 5: Solve for x
    x = 96,416,025.75/10,515.77
  6. Step 6: Final answer
    x = 9,168.71

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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.