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Finding the Fourth Proportional to 8,010.95, 11,051.09 and 5,180.74

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Solution

The fourth proportional to 8,010.95, 11,051.09 and 5,180.74 is: 7,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.95 : 11,051.09 = 5,180.74 : x
  2. Step 2: Convert to fraction form
    8,010.95/11,051.09 = 5,180.74/x
  3. Step 3: Cross multiply
    8,010.95x = 11,051.09 × 5,180.74
  4. Step 4: Simplify right side
    8,010.95x = 57,252,742.85
  5. Step 5: Solve for x
    x = 57,252,742.85/8,010.95
  6. Step 6: Final answer
    x = 7,146.81

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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.