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Finding the Fourth Proportional to 7,899.20, 11,849 and 2,056.08

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Solution

The fourth proportional to 7,899.20, 11,849 and 2,056.08 is: 3,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.20 : 11,849 = 2,056.08 : x
  2. Step 2: Convert to fraction form
    7,899.20/11,849 = 2,056.08/x
  3. Step 3: Cross multiply
    7,899.20x = 11,849 × 2,056.08
  4. Step 4: Simplify right side
    7,899.20x = 24,362,491.92
  5. Step 5: Solve for x
    x = 24,362,491.92/7,899.20
  6. Step 6: Final answer
    x = 3,084.17

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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.