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Finding the Fourth Proportional to 8,076.76, 11,146.06 and 4,442.96

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Solution

The fourth proportional to 8,076.76, 11,146.06 and 4,442.96 is: 6,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.76 : 11,146.06 = 4,442.96 : x
  2. Step 2: Convert to fraction form
    8,076.76/11,146.06 = 4,442.96/x
  3. Step 3: Cross multiply
    8,076.76x = 11,146.06 × 4,442.96
  4. Step 4: Simplify right side
    8,076.76x = 49,521,498.74
  5. Step 5: Solve for x
    x = 49,521,498.74/8,076.76
  6. Step 6: Final answer
    x = 6,131.36

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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.