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Finding the Fourth Proportional to 8,484.07, 11,706.73 and 4,849.85

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Solution

The fourth proportional to 8,484.07, 11,706.73 and 4,849.85 is: 6,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.07 : 11,706.73 = 4,849.85 : x
  2. Step 2: Convert to fraction form
    8,484.07/11,706.73 = 4,849.85/x
  3. Step 3: Cross multiply
    8,484.07x = 11,706.73 × 4,849.85
  4. Step 4: Simplify right side
    8,484.07x = 56,775,884.49
  5. Step 5: Solve for x
    x = 56,775,884.49/8,484.07
  6. Step 6: Final answer
    x = 6,692.06

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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.