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Finding the Fourth Proportional to 11,890.95, 16,408.89 and 6,585.45

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Solution

The fourth proportional to 11,890.95, 16,408.89 and 6,585.45 is: 9,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.95 : 16,408.89 = 6,585.45 : x
  2. Step 2: Convert to fraction form
    11,890.95/16,408.89 = 6,585.45/x
  3. Step 3: Cross multiply
    11,890.95x = 16,408.89 × 6,585.45
  4. Step 4: Simplify right side
    11,890.95x = 108,059,924.65
  5. Step 5: Solve for x
    x = 108,059,924.65/11,890.95
  6. Step 6: Final answer
    x = 9,087.58

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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.