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Finding the Fourth Proportional to 10,659.36, 14,710 and 5,943.96

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Solution

The fourth proportional to 10,659.36, 14,710 and 5,943.96 is: 8,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.36 : 14,710 = 5,943.96 : x
  2. Step 2: Convert to fraction form
    10,659.36/14,710 = 5,943.96/x
  3. Step 3: Cross multiply
    10,659.36x = 14,710 × 5,943.96
  4. Step 4: Simplify right side
    10,659.36x = 87,435,651.60
  5. Step 5: Solve for x
    x = 87,435,651.60/10,659.36
  6. Step 6: Final answer
    x = 8,202.71

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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.