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Finding the Fourth Proportional to 8,383.76, 11,569.53 and 4,606.96

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Solution

The fourth proportional to 8,383.76, 11,569.53 and 4,606.96 is: 6,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.76 : 11,569.53 = 4,606.96 : x
  2. Step 2: Convert to fraction form
    8,383.76/11,569.53 = 4,606.96/x
  3. Step 3: Cross multiply
    8,383.76x = 11,569.53 × 4,606.96
  4. Step 4: Simplify right side
    8,383.76x = 53,300,361.93
  5. Step 5: Solve for x
    x = 53,300,361.93/8,383.76
  6. Step 6: Final answer
    x = 6,357.57

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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.