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Finding the Fourth Proportional to 7,805.98, 11,709.02 and 3,126.38

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Solution

The fourth proportional to 7,805.98, 11,709.02 and 3,126.38 is: 4,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.98 : 11,709.02 = 3,126.38 : x
  2. Step 2: Convert to fraction form
    7,805.98/11,709.02 = 3,126.38/x
  3. Step 3: Cross multiply
    7,805.98x = 11,709.02 × 3,126.38
  4. Step 4: Simplify right side
    7,805.98x = 36,606,845.95
  5. Step 5: Solve for x
    x = 36,606,845.95/7,805.98
  6. Step 6: Final answer
    x = 4,689.59

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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.