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Finding the Fourth Proportional to 7,803.57, 11,690.51 and 4,634.30

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Solution

The fourth proportional to 7,803.57, 11,690.51 and 4,634.30 is: 6,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.57 : 11,690.51 = 4,634.30 : x
  2. Step 2: Convert to fraction form
    7,803.57/11,690.51 = 4,634.30/x
  3. Step 3: Cross multiply
    7,803.57x = 11,690.51 × 4,634.30
  4. Step 4: Simplify right side
    7,803.57x = 54,177,248.87
  5. Step 5: Solve for x
    x = 54,177,248.87/7,803.57
  6. Step 6: Final answer
    x = 6,942.62

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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.