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Finding the Fourth Proportional to 11,687.64, 16,126.30 and 6,971

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Solution

The fourth proportional to 11,687.64, 16,126.30 and 6,971 is: 9,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.64 : 16,126.30 = 6,971 : x
  2. Step 2: Convert to fraction form
    11,687.64/16,126.30 = 6,971/x
  3. Step 3: Cross multiply
    11,687.64x = 16,126.30 × 6,971
  4. Step 4: Simplify right side
    11,687.64x = 112,416,437.30
  5. Step 5: Solve for x
    x = 112,416,437.30/11,687.64
  6. Step 6: Final answer
    x = 9,618.40

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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.