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Finding the Fourth Proportional to 8,114.76, 11,199.44 and 4,758.89

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Solution

The fourth proportional to 8,114.76, 11,199.44 and 4,758.89 is: 6,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.76 : 11,199.44 = 4,758.89 : x
  2. Step 2: Convert to fraction form
    8,114.76/11,199.44 = 4,758.89/x
  3. Step 3: Cross multiply
    8,114.76x = 11,199.44 × 4,758.89
  4. Step 4: Simplify right side
    8,114.76x = 53,296,858.92
  5. Step 5: Solve for x
    x = 53,296,858.92/8,114.76
  6. Step 6: Final answer
    x = 6,567.89

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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.