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Finding the Fourth Proportional to 10,106.96, 13,947.64 and 5,858.84

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Solution

The fourth proportional to 10,106.96, 13,947.64 and 5,858.84 is: 8,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.96 : 13,947.64 = 5,858.84 : x
  2. Step 2: Convert to fraction form
    10,106.96/13,947.64 = 5,858.84/x
  3. Step 3: Cross multiply
    10,106.96x = 13,947.64 × 5,858.84
  4. Step 4: Simplify right side
    10,106.96x = 81,716,991.14
  5. Step 5: Solve for x
    x = 81,716,991.14/10,106.96
  6. Step 6: Final answer
    x = 8,085.22

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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.