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Finding the Fourth Proportional to 6,953.36, 10,430.04 and 1,759.23

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Solution

The fourth proportional to 6,953.36, 10,430.04 and 1,759.23 is: 2,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.36 : 10,430.04 = 1,759.23 : x
  2. Step 2: Convert to fraction form
    6,953.36/10,430.04 = 1,759.23/x
  3. Step 3: Cross multiply
    6,953.36x = 10,430.04 × 1,759.23
  4. Step 4: Simplify right side
    6,953.36x = 18,348,839.27
  5. Step 5: Solve for x
    x = 18,348,839.27/6,953.36
  6. Step 6: Final answer
    x = 2,638.85

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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.