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Finding the Fourth Proportional to 10,722.71, 14,797.34 and 6,007.03

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Solution

The fourth proportional to 10,722.71, 14,797.34 and 6,007.03 is: 8,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.71 : 14,797.34 = 6,007.03 : x
  2. Step 2: Convert to fraction form
    10,722.71/14,797.34 = 6,007.03/x
  3. Step 3: Cross multiply
    10,722.71x = 14,797.34 × 6,007.03
  4. Step 4: Simplify right side
    10,722.71x = 88,888,065.30
  5. Step 5: Solve for x
    x = 88,888,065.30/10,722.71
  6. Step 6: Final answer
    x = 8,289.70

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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.