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Finding the Fourth Proportional to 11,234.84, 16,852.26 and 4,656.64

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Solution

The fourth proportional to 11,234.84, 16,852.26 and 4,656.64 is: 6,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.84 : 16,852.26 = 4,656.64 : x
  2. Step 2: Convert to fraction form
    11,234.84/16,852.26 = 4,656.64/x
  3. Step 3: Cross multiply
    11,234.84x = 16,852.26 × 4,656.64
  4. Step 4: Simplify right side
    11,234.84x = 78,474,908.01
  5. Step 5: Solve for x
    x = 78,474,908.01/11,234.84
  6. Step 6: Final answer
    x = 6,984.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.