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Finding the Fourth Proportional to 8,563.83, 11,820.00 and 5,205.94

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Solution

The fourth proportional to 8,563.83, 11,820.00 and 5,205.94 is: 7,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.83 : 11,820.00 = 5,205.94 : x
  2. Step 2: Convert to fraction form
    8,563.83/11,820.00 = 5,205.94/x
  3. Step 3: Cross multiply
    8,563.83x = 11,820.00 × 5,205.94
  4. Step 4: Simplify right side
    8,563.83x = 61,534,171.49
  5. Step 5: Solve for x
    x = 61,534,171.49/8,563.83
  6. Step 6: Final answer
    x = 7,185.35

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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.