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Finding the Fourth Proportional to 11,777.63, 16,252.16 and 6,740.69

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Solution

The fourth proportional to 11,777.63, 16,252.16 and 6,740.69 is: 9,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.63 : 16,252.16 = 6,740.69 : x
  2. Step 2: Convert to fraction form
    11,777.63/16,252.16 = 6,740.69/x
  3. Step 3: Cross multiply
    11,777.63x = 16,252.16 × 6,740.69
  4. Step 4: Simplify right side
    11,777.63x = 109,550,829.87
  5. Step 5: Solve for x
    x = 109,550,829.87/11,777.63
  6. Step 6: Final answer
    x = 9,301.61

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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.