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Finding the Fourth Proportional to 10,500.85, 15,754.34 and 3,105.50

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Solution

The fourth proportional to 10,500.85, 15,754.34 and 3,105.50 is: 4,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.85 : 15,754.34 = 3,105.50 : x
  2. Step 2: Convert to fraction form
    10,500.85/15,754.34 = 3,105.50/x
  3. Step 3: Cross multiply
    10,500.85x = 15,754.34 × 3,105.50
  4. Step 4: Simplify right side
    10,500.85x = 48,925,024.10
  5. Step 5: Solve for x
    x = 48,925,024.10/10,500.85
  6. Step 6: Final answer
    x = 4,659.15

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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.