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Finding the Fourth Proportional to 7,639.71, 11,461 and 3,023.07

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Solution

The fourth proportional to 7,639.71, 11,461 and 3,023.07 is: 4,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.71 : 11,461 = 3,023.07 : x
  2. Step 2: Convert to fraction form
    7,639.71/11,461 = 3,023.07/x
  3. Step 3: Cross multiply
    7,639.71x = 11,461 × 3,023.07
  4. Step 4: Simplify right side
    7,639.71x = 34,647,405.27
  5. Step 5: Solve for x
    x = 34,647,405.27/7,639.71
  6. Step 6: Final answer
    x = 4,535.17

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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.