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Finding the Fourth Proportional to 7,887.69, 11,830.73 and 2,623.05

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Solution

The fourth proportional to 7,887.69, 11,830.73 and 2,623.05 is: 3,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.69 : 11,830.73 = 2,623.05 : x
  2. Step 2: Convert to fraction form
    7,887.69/11,830.73 = 2,623.05/x
  3. Step 3: Cross multiply
    7,887.69x = 11,830.73 × 2,623.05
  4. Step 4: Simplify right side
    7,887.69x = 31,032,583.21
  5. Step 5: Solve for x
    x = 31,032,583.21/7,887.69
  6. Step 6: Final answer
    x = 3,934.31

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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.