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Finding the Fourth Proportional to 7,087.98, 9,782.82 and 4,104.48

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Solution

The fourth proportional to 7,087.98, 9,782.82 and 4,104.48 is: 5,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.98 : 9,782.82 = 4,104.48 : x
  2. Step 2: Convert to fraction form
    7,087.98/9,782.82 = 4,104.48/x
  3. Step 3: Cross multiply
    7,087.98x = 9,782.82 × 4,104.48
  4. Step 4: Simplify right side
    7,087.98x = 40,153,389.03
  5. Step 5: Solve for x
    x = 40,153,389.03/7,087.98
  6. Step 6: Final answer
    x = 5,665.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.