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Finding the Fourth Proportional to 10,049.86, 15,075.42 and 3,385.81

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Solution

The fourth proportional to 10,049.86, 15,075.42 and 3,385.81 is: 5,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.86 : 15,075.42 = 3,385.81 : x
  2. Step 2: Convert to fraction form
    10,049.86/15,075.42 = 3,385.81/x
  3. Step 3: Cross multiply
    10,049.86x = 15,075.42 × 3,385.81
  4. Step 4: Simplify right side
    10,049.86x = 51,042,455.81
  5. Step 5: Solve for x
    x = 51,042,455.81/10,049.86
  6. Step 6: Final answer
    x = 5,078.92

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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.