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Finding the Fourth Proportional to 11,899.46, 16,421 and 6,594.24

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Solution

The fourth proportional to 11,899.46, 16,421 and 6,594.24 is: 9,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.46 : 16,421 = 6,594.24 : x
  2. Step 2: Convert to fraction form
    11,899.46/16,421 = 6,594.24/x
  3. Step 3: Cross multiply
    11,899.46x = 16,421 × 6,594.24
  4. Step 4: Simplify right side
    11,899.46x = 108,284,015.04
  5. Step 5: Solve for x
    x = 108,284,015.04/11,899.46
  6. Step 6: Final answer
    x = 9,099.91

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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.