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Finding the Fourth Proportional to 8,483.19, 11,706.83 and 4,706.43

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Solution

The fourth proportional to 8,483.19, 11,706.83 and 4,706.43 is: 6,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.19 : 11,706.83 = 4,706.43 : x
  2. Step 2: Convert to fraction form
    8,483.19/11,706.83 = 4,706.43/x
  3. Step 3: Cross multiply
    8,483.19x = 11,706.83 × 4,706.43
  4. Step 4: Simplify right side
    8,483.19x = 55,097,375.92
  5. Step 5: Solve for x
    x = 55,097,375.92/8,483.19
  6. Step 6: Final answer
    x = 6,494.89

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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.