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Finding the Fourth Proportional to 7,817.64, 10,788.98 and 4,674.44

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Solution

The fourth proportional to 7,817.64, 10,788.98 and 4,674.44 is: 6,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.64 : 10,788.98 = 4,674.44 : x
  2. Step 2: Convert to fraction form
    7,817.64/10,788.98 = 4,674.44/x
  3. Step 3: Cross multiply
    7,817.64x = 10,788.98 × 4,674.44
  4. Step 4: Simplify right side
    7,817.64x = 50,432,439.67
  5. Step 5: Solve for x
    x = 50,432,439.67/7,817.64
  6. Step 6: Final answer
    x = 6,451.11

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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.