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Finding the Fourth Proportional to 10,723.29, 14,793.03 and 6,474.51

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Solution

The fourth proportional to 10,723.29, 14,793.03 and 6,474.51 is: 8,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.29 : 14,793.03 = 6,474.51 : x
  2. Step 2: Convert to fraction form
    10,723.29/14,793.03 = 6,474.51/x
  3. Step 3: Cross multiply
    10,723.29x = 14,793.03 × 6,474.51
  4. Step 4: Simplify right side
    10,723.29x = 95,777,620.67
  5. Step 5: Solve for x
    x = 95,777,620.67/10,723.29
  6. Step 6: Final answer
    x = 8,931.74

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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.