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Finding the Fourth Proportional to 10,311.54, 15,464.22 and 5,378.49

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Solution

The fourth proportional to 10,311.54, 15,464.22 and 5,378.49 is: 8,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.54 : 15,464.22 = 5,378.49 : x
  2. Step 2: Convert to fraction form
    10,311.54/15,464.22 = 5,378.49/x
  3. Step 3: Cross multiply
    10,311.54x = 15,464.22 × 5,378.49
  4. Step 4: Simplify right side
    10,311.54x = 83,174,152.63
  5. Step 5: Solve for x
    x = 83,174,152.63/10,311.54
  6. Step 6: Final answer
    x = 8,066.12

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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.