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Finding the Fourth Proportional to 11,956.96, 16,502.70 and 7,777.36

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Solution

The fourth proportional to 11,956.96, 16,502.70 and 7,777.36 is: 10,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.96 : 16,502.70 = 7,777.36 : x
  2. Step 2: Convert to fraction form
    11,956.96/16,502.70 = 7,777.36/x
  3. Step 3: Cross multiply
    11,956.96x = 16,502.70 × 7,777.36
  4. Step 4: Simplify right side
    11,956.96x = 128,347,438.87
  5. Step 5: Solve for x
    x = 128,347,438.87/11,956.96
  6. Step 6: Final answer
    x = 10,734.12

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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.