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Finding the Fourth Proportional to 10,722.60, 14,797.23 and 6,006.93

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Solution

The fourth proportional to 10,722.60, 14,797.23 and 6,006.93 is: 8,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.60 : 14,797.23 = 6,006.93 : x
  2. Step 2: Convert to fraction form
    10,722.60/14,797.23 = 6,006.93/x
  3. Step 3: Cross multiply
    10,722.60x = 14,797.23 × 6,006.93
  4. Step 4: Simplify right side
    10,722.60x = 88,885,924.80
  5. Step 5: Solve for x
    x = 88,885,924.80/10,722.60
  6. Step 6: Final answer
    x = 8,289.59

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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.