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Finding the Fourth Proportional to 10,365.75, 15,557.63 and 5,438.85

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Solution

The fourth proportional to 10,365.75, 15,557.63 and 5,438.85 is: 8,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.75 : 15,557.63 = 5,438.85 : x
  2. Step 2: Convert to fraction form
    10,365.75/15,557.63 = 5,438.85/x
  3. Step 3: Cross multiply
    10,365.75x = 15,557.63 × 5,438.85
  4. Step 4: Simplify right side
    10,365.75x = 84,615,615.93
  5. Step 5: Solve for x
    x = 84,615,615.93/10,365.75
  6. Step 6: Final answer
    x = 8,163.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.