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Finding the Fourth Proportional to 6,105.87, 8,411.72 and 5,036.67

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Solution

The fourth proportional to 6,105.87, 8,411.72 and 5,036.67 is: 6,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.87 : 8,411.72 = 5,036.67 : x
  2. Step 2: Convert to fraction form
    6,105.87/8,411.72 = 5,036.67/x
  3. Step 3: Cross multiply
    6,105.87x = 8,411.72 × 5,036.67
  4. Step 4: Simplify right side
    6,105.87x = 42,367,032.59
  5. Step 5: Solve for x
    x = 42,367,032.59/6,105.87
  6. Step 6: Final answer
    x = 6,938.74

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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.