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Finding the Fourth Proportional to 8,295.93, 11,442.06 and 5,638.86

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Solution

The fourth proportional to 8,295.93, 11,442.06 and 5,638.86 is: 7,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.93 : 11,442.06 = 5,638.86 : x
  2. Step 2: Convert to fraction form
    8,295.93/11,442.06 = 5,638.86/x
  3. Step 3: Cross multiply
    8,295.93x = 11,442.06 × 5,638.86
  4. Step 4: Simplify right side
    8,295.93x = 64,520,174.45
  5. Step 5: Solve for x
    x = 64,520,174.45/8,295.93
  6. Step 6: Final answer
    x = 7,777.33

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