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Finding the Fourth Proportional to 11,806.16, 16,300.33 and 7,336.58

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Solution

The fourth proportional to 11,806.16, 16,300.33 and 7,336.58 is: 10,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.16 : 16,300.33 = 7,336.58 : x
  2. Step 2: Convert to fraction form
    11,806.16/16,300.33 = 7,336.58/x
  3. Step 3: Cross multiply
    11,806.16x = 16,300.33 × 7,336.58
  4. Step 4: Simplify right side
    11,806.16x = 119,588,575.23
  5. Step 5: Solve for x
    x = 119,588,575.23/11,806.16
  6. Step 6: Final answer
    x = 10,129.34

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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.