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Finding the Fourth Proportional to 8,037.82, 11,091.90 and 5,683.15

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Solution

The fourth proportional to 8,037.82, 11,091.90 and 5,683.15 is: 7,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.82 : 11,091.90 = 5,683.15 : x
  2. Step 2: Convert to fraction form
    8,037.82/11,091.90 = 5,683.15/x
  3. Step 3: Cross multiply
    8,037.82x = 11,091.90 × 5,683.15
  4. Step 4: Simplify right side
    8,037.82x = 63,036,931.49
  5. Step 5: Solve for x
    x = 63,036,931.49/8,037.82
  6. Step 6: Final answer
    x = 7,842.54

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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.