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Finding the Fourth Proportional to 8,270.55, 11,411.57 and 6,032.96

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Solution

The fourth proportional to 8,270.55, 11,411.57 and 6,032.96 is: 8,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.55 : 11,411.57 = 6,032.96 : x
  2. Step 2: Convert to fraction form
    8,270.55/11,411.57 = 6,032.96/x
  3. Step 3: Cross multiply
    8,270.55x = 11,411.57 × 6,032.96
  4. Step 4: Simplify right side
    8,270.55x = 68,845,503.37
  5. Step 5: Solve for x
    x = 68,845,503.37/8,270.55
  6. Step 6: Final answer
    x = 8,324.17

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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.