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Finding the Fourth Proportional to 11,806.42, 16,293.86 and 6,502.24

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Solution

The fourth proportional to 11,806.42, 16,293.86 and 6,502.24 is: 8,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.42 : 16,293.86 = 6,502.24 : x
  2. Step 2: Convert to fraction form
    11,806.42/16,293.86 = 6,502.24/x
  3. Step 3: Cross multiply
    11,806.42x = 16,293.86 × 6,502.24
  4. Step 4: Simplify right side
    11,806.42x = 105,946,588.25
  5. Step 5: Solve for x
    x = 105,946,588.25/11,806.42
  6. Step 6: Final answer
    x = 8,973.64

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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.