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Finding the Fourth Proportional to 8,002.27, 11,037.98 and 4,858.46

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Solution

The fourth proportional to 8,002.27, 11,037.98 and 4,858.46 is: 6,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.27 : 11,037.98 = 4,858.46 : x
  2. Step 2: Convert to fraction form
    8,002.27/11,037.98 = 4,858.46/x
  3. Step 3: Cross multiply
    8,002.27x = 11,037.98 × 4,858.46
  4. Step 4: Simplify right side
    8,002.27x = 53,627,584.31
  5. Step 5: Solve for x
    x = 53,627,584.31/8,002.27
  6. Step 6: Final answer
    x = 6,701.55

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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.