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Finding the Fourth Proportional to 10,722.96, 14,718.78 and 9,517.68

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Solution

The fourth proportional to 10,722.96, 14,718.78 and 9,517.68 is: 13,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.96 : 14,718.78 = 9,517.68 : x
  2. Step 2: Convert to fraction form
    10,722.96/14,718.78 = 9,517.68/x
  3. Step 3: Cross multiply
    10,722.96x = 14,718.78 × 9,517.68
  4. Step 4: Simplify right side
    10,722.96x = 140,088,638.03
  5. Step 5: Solve for x
    x = 140,088,638.03/10,722.96
  6. Step 6: Final answer
    x = 13,064.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.