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Finding the Fourth Proportional to 8,569.96, 11,825.22 and 5,032.84

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Solution

The fourth proportional to 8,569.96, 11,825.22 and 5,032.84 is: 6,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.96 : 11,825.22 = 5,032.84 : x
  2. Step 2: Convert to fraction form
    8,569.96/11,825.22 = 5,032.84/x
  3. Step 3: Cross multiply
    8,569.96x = 11,825.22 × 5,032.84
  4. Step 4: Simplify right side
    8,569.96x = 59,514,440.22
  5. Step 5: Solve for x
    x = 59,514,440.22/8,569.96
  6. Step 6: Final answer
    x = 6,944.54

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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.