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Finding the Fourth Proportional to 8,102.85, 12,154.28 and 2,556.76

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Solution

The fourth proportional to 8,102.85, 12,154.28 and 2,556.76 is: 3,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.85 : 12,154.28 = 2,556.76 : x
  2. Step 2: Convert to fraction form
    8,102.85/12,154.28 = 2,556.76/x
  3. Step 3: Cross multiply
    8,102.85x = 12,154.28 × 2,556.76
  4. Step 4: Simplify right side
    8,102.85x = 31,075,503.38
  5. Step 5: Solve for x
    x = 31,075,503.38/8,102.85
  6. Step 6: Final answer
    x = 3,835.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.