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Finding the Fourth Proportional to 8,690.64, 11,997.27 and 6,178.02

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Solution

The fourth proportional to 8,690.64, 11,997.27 and 6,178.02 is: 8,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.64 : 11,997.27 = 6,178.02 : x
  2. Step 2: Convert to fraction form
    8,690.64/11,997.27 = 6,178.02/x
  3. Step 3: Cross multiply
    8,690.64x = 11,997.27 × 6,178.02
  4. Step 4: Simplify right side
    8,690.64x = 74,119,374.01
  5. Step 5: Solve for x
    x = 74,119,374.01/8,690.64
  6. Step 6: Final answer
    x = 8,528.64

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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.