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Finding the Fourth Proportional to 8,359.77, 11,533.62 and 4,772.15

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Solution

The fourth proportional to 8,359.77, 11,533.62 and 4,772.15 is: 6,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.77 : 11,533.62 = 4,772.15 : x
  2. Step 2: Convert to fraction form
    8,359.77/11,533.62 = 4,772.15/x
  3. Step 3: Cross multiply
    8,359.77x = 11,533.62 × 4,772.15
  4. Step 4: Simplify right side
    8,359.77x = 55,040,107.01
  5. Step 5: Solve for x
    x = 55,040,107.01/8,359.77
  6. Step 6: Final answer
    x = 6,583.93

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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.