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Finding the Fourth Proportional to 8,583.30, 11,844.75 and 4,857.30

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Solution

The fourth proportional to 8,583.30, 11,844.75 and 4,857.30 is: 6,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.30 : 11,844.75 = 4,857.30 : x
  2. Step 2: Convert to fraction form
    8,583.30/11,844.75 = 4,857.30/x
  3. Step 3: Cross multiply
    8,583.30x = 11,844.75 × 4,857.30
  4. Step 4: Simplify right side
    8,583.30x = 57,533,504.18
  5. Step 5: Solve for x
    x = 57,533,504.18/8,583.30
  6. Step 6: Final answer
    x = 6,702.96

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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.