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Finding the Fourth Proportional to 10,639.71, 14,680.65 and 5,923.08

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Solution

The fourth proportional to 10,639.71, 14,680.65 and 5,923.08 is: 8,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.71 : 14,680.65 = 5,923.08 : x
  2. Step 2: Convert to fraction form
    10,639.71/14,680.65 = 5,923.08/x
  3. Step 3: Cross multiply
    10,639.71x = 14,680.65 × 5,923.08
  4. Step 4: Simplify right side
    10,639.71x = 86,954,664.40
  5. Step 5: Solve for x
    x = 86,954,664.40/10,639.71
  6. Step 6: Final answer
    x = 8,172.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.