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Finding the Fourth Proportional to 11,722.70, 16,165.04 and 7,738.58

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Solution

The fourth proportional to 11,722.70, 16,165.04 and 7,738.58 is: 10,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.70 : 16,165.04 = 7,738.58 : x
  2. Step 2: Convert to fraction form
    11,722.70/16,165.04 = 7,738.58/x
  3. Step 3: Cross multiply
    11,722.70x = 16,165.04 × 7,738.58
  4. Step 4: Simplify right side
    11,722.70x = 125,094,455.24
  5. Step 5: Solve for x
    x = 125,094,455.24/11,722.70
  6. Step 6: Final answer
    x = 10,671.13

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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.