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Finding the Fourth Proportional to 10,477.64, 14,462.21 and 6,231.69

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Solution

The fourth proportional to 10,477.64, 14,462.21 and 6,231.69 is: 8,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.64 : 14,462.21 = 6,231.69 : x
  2. Step 2: Convert to fraction form
    10,477.64/14,462.21 = 6,231.69/x
  3. Step 3: Cross multiply
    10,477.64x = 14,462.21 × 6,231.69
  4. Step 4: Simplify right side
    10,477.64x = 90,123,978.28
  5. Step 5: Solve for x
    x = 90,123,978.28/10,477.64
  6. Step 6: Final answer
    x = 8,601.56

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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.