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Finding the Fourth Proportional to 8,474.16, 11,694.40 and 4,697.44

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Solution

The fourth proportional to 8,474.16, 11,694.40 and 4,697.44 is: 6,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.16 : 11,694.40 = 4,697.44 : x
  2. Step 2: Convert to fraction form
    8,474.16/11,694.40 = 4,697.44/x
  3. Step 3: Cross multiply
    8,474.16x = 11,694.40 × 4,697.44
  4. Step 4: Simplify right side
    8,474.16x = 54,933,742.34
  5. Step 5: Solve for x
    x = 54,933,742.34/8,474.16
  6. Step 6: Final answer
    x = 6,482.50

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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.