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Finding the Fourth Proportional to 11,725.70, 16,184.22 and 7,746.98

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Solution

The fourth proportional to 11,725.70, 16,184.22 and 7,746.98 is: 10,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.70 : 16,184.22 = 7,746.98 : x
  2. Step 2: Convert to fraction form
    11,725.70/16,184.22 = 7,746.98/x
  3. Step 3: Cross multiply
    11,725.70x = 16,184.22 × 7,746.98
  4. Step 4: Simplify right side
    11,725.70x = 125,378,828.66
  5. Step 5: Solve for x
    x = 125,378,828.66/11,725.70
  6. Step 6: Final answer
    x = 10,692.65

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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.