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Finding the Fourth Proportional to 8,085.73, 12,114.16 and 4,385.60

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Solution

The fourth proportional to 8,085.73, 12,114.16 and 4,385.60 is: 6,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.73 : 12,114.16 = 4,385.60 : x
  2. Step 2: Convert to fraction form
    8,085.73/12,114.16 = 4,385.60/x
  3. Step 3: Cross multiply
    8,085.73x = 12,114.16 × 4,385.60
  4. Step 4: Simplify right side
    8,085.73x = 53,127,777.60
  5. Step 5: Solve for x
    x = 53,127,777.60/8,085.73
  6. Step 6: Final answer
    x = 6,570.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.