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Finding the Fourth Proportional to 8,371.37, 11,551.07 and 4,785.71

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Solution

The fourth proportional to 8,371.37, 11,551.07 and 4,785.71 is: 6,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.37 : 11,551.07 = 4,785.71 : x
  2. Step 2: Convert to fraction form
    8,371.37/11,551.07 = 4,785.71/x
  3. Step 3: Cross multiply
    8,371.37x = 11,551.07 × 4,785.71
  4. Step 4: Simplify right side
    8,371.37x = 55,280,025.42
  5. Step 5: Solve for x
    x = 55,280,025.42/8,371.37
  6. Step 6: Final answer
    x = 6,603.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.