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Finding the Fourth Proportional to 6,865.57, 10,295.69 and 2,361.77

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Solution

The fourth proportional to 6,865.57, 10,295.69 and 2,361.77 is: 3,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.57 : 10,295.69 = 2,361.77 : x
  2. Step 2: Convert to fraction form
    6,865.57/10,295.69 = 2,361.77/x
  3. Step 3: Cross multiply
    6,865.57x = 10,295.69 × 2,361.77
  4. Step 4: Simplify right side
    6,865.57x = 24,316,083.41
  5. Step 5: Solve for x
    x = 24,316,083.41/6,865.57
  6. Step 6: Final answer
    x = 3,541.74

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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.