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Finding the Fourth Proportional to 10,109, 13,950.52 and 5,917.34

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Solution

The fourth proportional to 10,109, 13,950.52 and 5,917.34 is: 8,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109 : 13,950.52 = 5,917.34 : x
  2. Step 2: Convert to fraction form
    10,109/13,950.52 = 5,917.34/x
  3. Step 3: Cross multiply
    10,109x = 13,950.52 × 5,917.34
  4. Step 4: Simplify right side
    10,109x = 82,549,970.02
  5. Step 5: Solve for x
    x = 82,549,970.02/10,109
  6. Step 6: Final answer
    x = 8,165.99

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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.