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Finding the Fourth Proportional to 11,817.57, 16,306.74 and 6,782.01

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Solution

The fourth proportional to 11,817.57, 16,306.74 and 6,782.01 is: 9,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.57 : 16,306.74 = 6,782.01 : x
  2. Step 2: Convert to fraction form
    11,817.57/16,306.74 = 6,782.01/x
  3. Step 3: Cross multiply
    11,817.57x = 16,306.74 × 6,782.01
  4. Step 4: Simplify right side
    11,817.57x = 110,592,473.75
  5. Step 5: Solve for x
    x = 110,592,473.75/11,817.57
  6. Step 6: Final answer
    x = 9,358.31

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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.