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Finding the Fourth Proportional to 10,033.96, 13,846.80 and 5,557.92

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Solution

The fourth proportional to 10,033.96, 13,846.80 and 5,557.92 is: 7,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.96 : 13,846.80 = 5,557.92 : x
  2. Step 2: Convert to fraction form
    10,033.96/13,846.80 = 5,557.92/x
  3. Step 3: Cross multiply
    10,033.96x = 13,846.80 × 5,557.92
  4. Step 4: Simplify right side
    10,033.96x = 76,959,406.66
  5. Step 5: Solve for x
    x = 76,959,406.66/10,033.96
  6. Step 6: Final answer
    x = 7,669.89

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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.