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Finding the Fourth Proportional to 7,883.64, 11,817.45 and 5,112.06

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Solution

The fourth proportional to 7,883.64, 11,817.45 and 5,112.06 is: 7,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.64 : 11,817.45 = 5,112.06 : x
  2. Step 2: Convert to fraction form
    7,883.64/11,817.45 = 5,112.06/x
  3. Step 3: Cross multiply
    7,883.64x = 11,817.45 × 5,112.06
  4. Step 4: Simplify right side
    7,883.64x = 60,411,513.45
  5. Step 5: Solve for x
    x = 60,411,513.45/7,883.64
  6. Step 6: Final answer
    x = 7,662.90

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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.