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Finding the Fourth Proportional to 8,338.83, 11,447.32 and 7,157.85

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Solution

The fourth proportional to 8,338.83, 11,447.32 and 7,157.85 is: 9,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.83 : 11,447.32 = 7,157.85 : x
  2. Step 2: Convert to fraction form
    8,338.83/11,447.32 = 7,157.85/x
  3. Step 3: Cross multiply
    8,338.83x = 11,447.32 × 7,157.85
  4. Step 4: Simplify right side
    8,338.83x = 81,938,199.46
  5. Step 5: Solve for x
    x = 81,938,199.46/8,338.83
  6. Step 6: Final answer
    x = 9,826.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.