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Finding the Fourth Proportional to 7,639.71, 11,457.17 and 2,959.40

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Solution

The fourth proportional to 7,639.71, 11,457.17 and 2,959.40 is: 4,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.71 : 11,457.17 = 2,959.40 : x
  2. Step 2: Convert to fraction form
    7,639.71/11,457.17 = 2,959.40/x
  3. Step 3: Cross multiply
    7,639.71x = 11,457.17 × 2,959.40
  4. Step 4: Simplify right side
    7,639.71x = 33,906,276.82
  5. Step 5: Solve for x
    x = 33,906,276.82/7,639.71
  6. Step 6: Final answer
    x = 4,438.16

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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.