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Finding the Fourth Proportional to 6,980.98, 10,472.04 and 2,597.38

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Solution

The fourth proportional to 6,980.98, 10,472.04 and 2,597.38 is: 3,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.98 : 10,472.04 = 2,597.38 : x
  2. Step 2: Convert to fraction form
    6,980.98/10,472.04 = 2,597.38/x
  3. Step 3: Cross multiply
    6,980.98x = 10,472.04 × 2,597.38
  4. Step 4: Simplify right side
    6,980.98x = 27,199,867.26
  5. Step 5: Solve for x
    x = 27,199,867.26/6,980.98
  6. Step 6: Final answer
    x = 3,896.28

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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.