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Finding the Fourth Proportional to 11,059.32, 16,584.66 and 4,899

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Solution

The fourth proportional to 11,059.32, 16,584.66 and 4,899 is: 7,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.32 : 16,584.66 = 4,899 : x
  2. Step 2: Convert to fraction form
    11,059.32/16,584.66 = 4,899/x
  3. Step 3: Cross multiply
    11,059.32x = 16,584.66 × 4,899
  4. Step 4: Simplify right side
    11,059.32x = 81,248,249.34
  5. Step 5: Solve for x
    x = 81,248,249.34/11,059.32
  6. Step 6: Final answer
    x = 7,346.59

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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.