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Finding the Fourth Proportional to 11,664.60, 17,490.48 and 7,971

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Solution

The fourth proportional to 11,664.60, 17,490.48 and 7,971 is: 11,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.60 : 17,490.48 = 7,971 : x
  2. Step 2: Convert to fraction form
    11,664.60/17,490.48 = 7,971/x
  3. Step 3: Cross multiply
    11,664.60x = 17,490.48 × 7,971
  4. Step 4: Simplify right side
    11,664.60x = 139,416,616.08
  5. Step 5: Solve for x
    x = 139,416,616.08/11,664.60
  6. Step 6: Final answer
    x = 11,952.11

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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.