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Finding the Fourth Proportional to 8,038.85, 12,056.70 and 2,194.07

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Solution

The fourth proportional to 8,038.85, 12,056.70 and 2,194.07 is: 3,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.85 : 12,056.70 = 2,194.07 : x
  2. Step 2: Convert to fraction form
    8,038.85/12,056.70 = 2,194.07/x
  3. Step 3: Cross multiply
    8,038.85x = 12,056.70 × 2,194.07
  4. Step 4: Simplify right side
    8,038.85x = 26,453,243.77
  5. Step 5: Solve for x
    x = 26,453,243.77/8,038.85
  6. Step 6: Final answer
    x = 3,290.68

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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.