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Finding the Fourth Proportional to 10,660.24, 14,706.93 and 6,183.19

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Solution

The fourth proportional to 10,660.24, 14,706.93 and 6,183.19 is: 8,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.24 : 14,706.93 = 6,183.19 : x
  2. Step 2: Convert to fraction form
    10,660.24/14,706.93 = 6,183.19/x
  3. Step 3: Cross multiply
    10,660.24x = 14,706.93 × 6,183.19
  4. Step 4: Simplify right side
    10,660.24x = 90,935,742.51
  5. Step 5: Solve for x
    x = 90,935,742.51/10,660.24
  6. Step 6: Final answer
    x = 8,530.37

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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.