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Finding the Fourth Proportional to 11,890.70, 16,409.18 and 6,585.40

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Solution

The fourth proportional to 11,890.70, 16,409.18 and 6,585.40 is: 9,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.70 : 16,409.18 = 6,585.40 : x
  2. Step 2: Convert to fraction form
    11,890.70/16,409.18 = 6,585.40/x
  3. Step 3: Cross multiply
    11,890.70x = 16,409.18 × 6,585.40
  4. Step 4: Simplify right side
    11,890.70x = 108,061,050.95
  5. Step 5: Solve for x
    x = 108,061,050.95/11,890.70
  6. Step 6: Final answer
    x = 9,087.86

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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.