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Finding the Fourth Proportional to 10,765.37, 14,855.20 and 6,226.90

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Solution

The fourth proportional to 10,765.37, 14,855.20 and 6,226.90 is: 8,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.37 : 14,855.20 = 6,226.90 : x
  2. Step 2: Convert to fraction form
    10,765.37/14,855.20 = 6,226.90/x
  3. Step 3: Cross multiply
    10,765.37x = 14,855.20 × 6,226.90
  4. Step 4: Simplify right side
    10,765.37x = 92,501,792.17
  5. Step 5: Solve for x
    x = 92,501,792.17/10,765.37
  6. Step 6: Final answer
    x = 8,592.53

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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.