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Finding the Fourth Proportional to 10,203.42, 15,305.37 and 3,277.98

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Solution

The fourth proportional to 10,203.42, 15,305.37 and 3,277.98 is: 4,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.42 : 15,305.37 = 3,277.98 : x
  2. Step 2: Convert to fraction form
    10,203.42/15,305.37 = 3,277.98/x
  3. Step 3: Cross multiply
    10,203.42x = 15,305.37 × 3,277.98
  4. Step 4: Simplify right side
    10,203.42x = 50,170,696.75
  5. Step 5: Solve for x
    x = 50,170,696.75/10,203.42
  6. Step 6: Final answer
    x = 4,917.05

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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.