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Finding the Fourth Proportional to 6,717.40, 10,085.70 and 3,801.40

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Solution

The fourth proportional to 6,717.40, 10,085.70 and 3,801.40 is: 5,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.40 : 10,085.70 = 3,801.40 : x
  2. Step 2: Convert to fraction form
    6,717.40/10,085.70 = 3,801.40/x
  3. Step 3: Cross multiply
    6,717.40x = 10,085.70 × 3,801.40
  4. Step 4: Simplify right side
    6,717.40x = 38,339,779.98
  5. Step 5: Solve for x
    x = 38,339,779.98/6,717.40
  6. Step 6: Final answer
    x = 5,707.53

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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.