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Finding the Fourth Proportional to 10,738.68, 14,818.62 and 5,958.87

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Solution

The fourth proportional to 10,738.68, 14,818.62 and 5,958.87 is: 8,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.68 : 14,818.62 = 5,958.87 : x
  2. Step 2: Convert to fraction form
    10,738.68/14,818.62 = 5,958.87/x
  3. Step 3: Cross multiply
    10,738.68x = 14,818.62 × 5,958.87
  4. Step 4: Simplify right side
    10,738.68x = 88,302,230.16
  5. Step 5: Solve for x
    x = 88,302,230.16/10,738.68
  6. Step 6: Final answer
    x = 8,222.82

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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.