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Finding the Fourth Proportional to 8,111.52, 11,193.12 and 4,575.96

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Solution

The fourth proportional to 8,111.52, 11,193.12 and 4,575.96 is: 6,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.52 : 11,193.12 = 4,575.96 : x
  2. Step 2: Convert to fraction form
    8,111.52/11,193.12 = 4,575.96/x
  3. Step 3: Cross multiply
    8,111.52x = 11,193.12 × 4,575.96
  4. Step 4: Simplify right side
    8,111.52x = 51,219,269.40
  5. Step 5: Solve for x
    x = 51,219,269.40/8,111.52
  6. Step 6: Final answer
    x = 6,314.39

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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.