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Finding the Fourth Proportional to 8,102.73, 11,178.76 and 5,445.93

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Solution

The fourth proportional to 8,102.73, 11,178.76 and 5,445.93 is: 7,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.73 : 11,178.76 = 5,445.93 : x
  2. Step 2: Convert to fraction form
    8,102.73/11,178.76 = 5,445.93/x
  3. Step 3: Cross multiply
    8,102.73x = 11,178.76 × 5,445.93
  4. Step 4: Simplify right side
    8,102.73x = 60,878,782.96
  5. Step 5: Solve for x
    x = 60,878,782.96/8,102.73
  6. Step 6: Final answer
    x = 7,513.36

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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.