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Finding the Fourth Proportional to 11,782.69, 17,673.94 and 2,897.98

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Solution

The fourth proportional to 11,782.69, 17,673.94 and 2,897.98 is: 4,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.69 : 17,673.94 = 2,897.98 : x
  2. Step 2: Convert to fraction form
    11,782.69/17,673.94 = 2,897.98/x
  3. Step 3: Cross multiply
    11,782.69x = 17,673.94 × 2,897.98
  4. Step 4: Simplify right side
    11,782.69x = 51,218,724.64
  5. Step 5: Solve for x
    x = 51,218,724.64/11,782.69
  6. Step 6: Final answer
    x = 4,346.95

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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.