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Finding the Fourth Proportional to 11,977.32, 16,529.58 and 7,797.72

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Solution

The fourth proportional to 11,977.32, 16,529.58 and 7,797.72 is: 10,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.32 : 16,529.58 = 7,797.72 : x
  2. Step 2: Convert to fraction form
    11,977.32/16,529.58 = 7,797.72/x
  3. Step 3: Cross multiply
    11,977.32x = 16,529.58 × 7,797.72
  4. Step 4: Simplify right side
    11,977.32x = 128,893,036.56
  5. Step 5: Solve for x
    x = 128,893,036.56/11,977.32
  6. Step 6: Final answer
    x = 10,761.43

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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.