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Finding the Fourth Proportional to 11,898.75, 16,419.86 and 6,594.06

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Solution

The fourth proportional to 11,898.75, 16,419.86 and 6,594.06 is: 9,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.75 : 16,419.86 = 6,594.06 : x
  2. Step 2: Convert to fraction form
    11,898.75/16,419.86 = 6,594.06/x
  3. Step 3: Cross multiply
    11,898.75x = 16,419.86 × 6,594.06
  4. Step 4: Simplify right side
    11,898.75x = 108,273,426.96
  5. Step 5: Solve for x
    x = 108,273,426.96/11,898.75
  6. Step 6: Final answer
    x = 9,099.57

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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.