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Finding the Fourth Proportional to 6,737.42, 10,106.16 and 2,295.54

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Solution

The fourth proportional to 6,737.42, 10,106.16 and 2,295.54 is: 3,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.42 : 10,106.16 = 2,295.54 : x
  2. Step 2: Convert to fraction form
    6,737.42/10,106.16 = 2,295.54/x
  3. Step 3: Cross multiply
    6,737.42x = 10,106.16 × 2,295.54
  4. Step 4: Simplify right side
    6,737.42x = 23,199,044.00
  5. Step 5: Solve for x
    x = 23,199,044.00/6,737.42
  6. Step 6: Final answer
    x = 3,443.31

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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.