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Finding the Fourth Proportional to 10,475.37, 14,455.24 and 6,226.24

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Solution

The fourth proportional to 10,475.37, 14,455.24 and 6,226.24 is: 8,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.37 : 14,455.24 = 6,226.24 : x
  2. Step 2: Convert to fraction form
    10,475.37/14,455.24 = 6,226.24/x
  3. Step 3: Cross multiply
    10,475.37x = 14,455.24 × 6,226.24
  4. Step 4: Simplify right side
    10,475.37x = 90,001,793.50
  5. Step 5: Solve for x
    x = 90,001,793.50/10,475.37
  6. Step 6: Final answer
    x = 8,591.75

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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.