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Finding the Fourth Proportional to 10,334.69, 14,260.81 and 5,858.83

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Solution

The fourth proportional to 10,334.69, 14,260.81 and 5,858.83 is: 8,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.69 : 14,260.81 = 5,858.83 : x
  2. Step 2: Convert to fraction form
    10,334.69/14,260.81 = 5,858.83/x
  3. Step 3: Cross multiply
    10,334.69x = 14,260.81 × 5,858.83
  4. Step 4: Simplify right side
    10,334.69x = 83,551,675.62
  5. Step 5: Solve for x
    x = 83,551,675.62/10,334.69
  6. Step 6: Final answer
    x = 8,084.59

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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.