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Finding the Fourth Proportional to 8,583.50, 11,845.41 and 4,857.50

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Solution

The fourth proportional to 8,583.50, 11,845.41 and 4,857.50 is: 6,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.50 : 11,845.41 = 4,857.50 : x
  2. Step 2: Convert to fraction form
    8,583.50/11,845.41 = 4,857.50/x
  3. Step 3: Cross multiply
    8,583.50x = 11,845.41 × 4,857.50
  4. Step 4: Simplify right side
    8,583.50x = 57,539,079.08
  5. Step 5: Solve for x
    x = 57,539,079.08/8,583.50
  6. Step 6: Final answer
    x = 6,703.45

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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.