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Finding the Fourth Proportional to 8,038.76, 11,093.57 and 4,453.82

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Solution

The fourth proportional to 8,038.76, 11,093.57 and 4,453.82 is: 6,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.76 : 11,093.57 = 4,453.82 : x
  2. Step 2: Convert to fraction form
    8,038.76/11,093.57 = 4,453.82/x
  3. Step 3: Cross multiply
    8,038.76x = 11,093.57 × 4,453.82
  4. Step 4: Simplify right side
    8,038.76x = 49,408,763.94
  5. Step 5: Solve for x
    x = 49,408,763.94/8,038.76
  6. Step 6: Final answer
    x = 6,146.32

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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.