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Finding the Fourth Proportional to 10,160.37, 15,226.70 and 6,213

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Solution

The fourth proportional to 10,160.37, 15,226.70 and 6,213 is: 9,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.37 : 15,226.70 = 6,213 : x
  2. Step 2: Convert to fraction form
    10,160.37/15,226.70 = 6,213/x
  3. Step 3: Cross multiply
    10,160.37x = 15,226.70 × 6,213
  4. Step 4: Simplify right side
    10,160.37x = 94,603,487.10
  5. Step 5: Solve for x
    x = 94,603,487.10/10,160.37
  6. Step 6: Final answer
    x = 9,311.03

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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.