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Finding the Fourth Proportional to 10,066.85, 13,887.43 and 7,084.34

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Solution

The fourth proportional to 10,066.85, 13,887.43 and 7,084.34 is: 9,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.85 : 13,887.43 = 7,084.34 : x
  2. Step 2: Convert to fraction form
    10,066.85/13,887.43 = 7,084.34/x
  3. Step 3: Cross multiply
    10,066.85x = 13,887.43 × 7,084.34
  4. Step 4: Simplify right side
    10,066.85x = 98,383,188.70
  5. Step 5: Solve for x
    x = 98,383,188.70/10,066.85
  6. Step 6: Final answer
    x = 9,772.99

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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.