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Finding the Fourth Proportional to 8,333.98, 11,500.77 and 4,557.16

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Solution

The fourth proportional to 8,333.98, 11,500.77 and 4,557.16 is: 6,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.98 : 11,500.77 = 4,557.16 : x
  2. Step 2: Convert to fraction form
    8,333.98/11,500.77 = 4,557.16/x
  3. Step 3: Cross multiply
    8,333.98x = 11,500.77 × 4,557.16
  4. Step 4: Simplify right side
    8,333.98x = 52,410,849.01
  5. Step 5: Solve for x
    x = 52,410,849.01/8,333.98
  6. Step 6: Final answer
    x = 6,288.81

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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.