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Finding the Fourth Proportional to 10,460.46, 14,431.90 and 5,981.02

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Solution

The fourth proportional to 10,460.46, 14,431.90 and 5,981.02 is: 8,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.46 : 14,431.90 = 5,981.02 : x
  2. Step 2: Convert to fraction form
    10,460.46/14,431.90 = 5,981.02/x
  3. Step 3: Cross multiply
    10,460.46x = 14,431.90 × 5,981.02
  4. Step 4: Simplify right side
    10,460.46x = 86,317,523.90
  5. Step 5: Solve for x
    x = 86,317,523.90/10,460.46
  6. Step 6: Final answer
    x = 8,251.79

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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.