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Finding the Fourth Proportional to 7,639.16, 11,457.81 and 2,093.00

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Solution

The fourth proportional to 7,639.16, 11,457.81 and 2,093.00 is: 3,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.16 : 11,457.81 = 2,093.00 : x
  2. Step 2: Convert to fraction form
    7,639.16/11,457.81 = 2,093.00/x
  3. Step 3: Cross multiply
    7,639.16x = 11,457.81 × 2,093.00
  4. Step 4: Simplify right side
    7,639.16x = 23,981,139.04
  5. Step 5: Solve for x
    x = 23,981,139.04/7,639.16
  6. Step 6: Final answer
    x = 3,139.24

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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.