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Finding the Fourth Proportional to 8,483.57, 11,706.05 and 4,849.35

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Solution

The fourth proportional to 8,483.57, 11,706.05 and 4,849.35 is: 6,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.57 : 11,706.05 = 4,849.35 : x
  2. Step 2: Convert to fraction form
    8,483.57/11,706.05 = 4,849.35/x
  3. Step 3: Cross multiply
    8,483.57x = 11,706.05 × 4,849.35
  4. Step 4: Simplify right side
    8,483.57x = 56,766,709.32
  5. Step 5: Solve for x
    x = 56,766,709.32/8,483.57
  6. Step 6: Final answer
    x = 6,691.37

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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.