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Finding the Fourth Proportional to 10,165.26, 14,026.46 and 5,917.02

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Solution

The fourth proportional to 10,165.26, 14,026.46 and 5,917.02 is: 8,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.26 : 14,026.46 = 5,917.02 : x
  2. Step 2: Convert to fraction form
    10,165.26/14,026.46 = 5,917.02/x
  3. Step 3: Cross multiply
    10,165.26x = 14,026.46 × 5,917.02
  4. Step 4: Simplify right side
    10,165.26x = 82,994,814.76
  5. Step 5: Solve for x
    x = 82,994,814.76/10,165.26
  6. Step 6: Final answer
    x = 8,164.55

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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.