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Finding the Fourth Proportional to 11,783.46, 16,261.48 and 7,309.42

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Solution

The fourth proportional to 11,783.46, 16,261.48 and 7,309.42 is: 10,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.46 : 16,261.48 = 7,309.42 : x
  2. Step 2: Convert to fraction form
    11,783.46/16,261.48 = 7,309.42/x
  3. Step 3: Cross multiply
    11,783.46x = 16,261.48 × 7,309.42
  4. Step 4: Simplify right side
    11,783.46x = 118,861,987.14
  5. Step 5: Solve for x
    x = 118,861,987.14/11,783.46
  6. Step 6: Final answer
    x = 10,087.19

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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.