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Finding the Fourth Proportional to 8,442.26, 11,643.68 and 7,876.37

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Solution

The fourth proportional to 8,442.26, 11,643.68 and 7,876.37 is: 10,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.26 : 11,643.68 = 7,876.37 : x
  2. Step 2: Convert to fraction form
    8,442.26/11,643.68 = 7,876.37/x
  3. Step 3: Cross multiply
    8,442.26x = 11,643.68 × 7,876.37
  4. Step 4: Simplify right side
    8,442.26x = 91,709,980.64
  5. Step 5: Solve for x
    x = 91,709,980.64/8,442.26
  6. Step 6: Final answer
    x = 10,863.20

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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.