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Finding the Fourth Proportional to 7,823.88, 11,675.16 and 6,993

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Solution

The fourth proportional to 7,823.88, 11,675.16 and 6,993 is: 10,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.88 : 11,675.16 = 6,993 : x
  2. Step 2: Convert to fraction form
    7,823.88/11,675.16 = 6,993/x
  3. Step 3: Cross multiply
    7,823.88x = 11,675.16 × 6,993
  4. Step 4: Simplify right side
    7,823.88x = 81,644,393.88
  5. Step 5: Solve for x
    x = 81,644,393.88/7,823.88
  6. Step 6: Final answer
    x = 10,435.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.