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Finding the Fourth Proportional to 11,375.88, 15,704.91 and 7,858.02

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Solution

The fourth proportional to 11,375.88, 15,704.91 and 7,858.02 is: 10,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.88 : 15,704.91 = 7,858.02 : x
  2. Step 2: Convert to fraction form
    11,375.88/15,704.91 = 7,858.02/x
  3. Step 3: Cross multiply
    11,375.88x = 15,704.91 × 7,858.02
  4. Step 4: Simplify right side
    11,375.88x = 123,409,496.88
  5. Step 5: Solve for x
    x = 123,409,496.88/11,375.88
  6. Step 6: Final answer
    x = 10,848.35

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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.