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Finding the Fourth Proportional to 10,431.71, 14,395.73 and 5,956.86

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Solution

The fourth proportional to 10,431.71, 14,395.73 and 5,956.86 is: 8,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.71 : 14,395.73 = 5,956.86 : x
  2. Step 2: Convert to fraction form
    10,431.71/14,395.73 = 5,956.86/x
  3. Step 3: Cross multiply
    10,431.71x = 14,395.73 × 5,956.86
  4. Step 4: Simplify right side
    10,431.71x = 85,753,318.42
  5. Step 5: Solve for x
    x = 85,753,318.42/10,431.71
  6. Step 6: Final answer
    x = 8,220.45

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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.