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Finding the Fourth Proportional to 10,722.80, 14,797.80 and 6,007.52

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Solution

The fourth proportional to 10,722.80, 14,797.80 and 6,007.52 is: 8,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.80 : 14,797.80 = 6,007.52 : x
  2. Step 2: Convert to fraction form
    10,722.80/14,797.80 = 6,007.52/x
  3. Step 3: Cross multiply
    10,722.80x = 14,797.80 × 6,007.52
  4. Step 4: Simplify right side
    10,722.80x = 88,898,079.46
  5. Step 5: Solve for x
    x = 88,898,079.46/10,722.80
  6. Step 6: Final answer
    x = 8,290.57

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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.