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Finding the Fourth Proportional to 10,669.64, 14,724.06 and 5,953.88

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Solution

The fourth proportional to 10,669.64, 14,724.06 and 5,953.88 is: 8,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.64 : 14,724.06 = 5,953.88 : x
  2. Step 2: Convert to fraction form
    10,669.64/14,724.06 = 5,953.88/x
  3. Step 3: Cross multiply
    10,669.64x = 14,724.06 × 5,953.88
  4. Step 4: Simplify right side
    10,669.64x = 87,665,286.35
  5. Step 5: Solve for x
    x = 87,665,286.35/10,669.64
  6. Step 6: Final answer
    x = 8,216.33

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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.