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Finding the Fourth Proportional to 8,483.50, 11,707.23 and 4,946.03

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Solution

The fourth proportional to 8,483.50, 11,707.23 and 4,946.03 is: 6,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.50 : 11,707.23 = 4,946.03 : x
  2. Step 2: Convert to fraction form
    8,483.50/11,707.23 = 4,946.03/x
  3. Step 3: Cross multiply
    8,483.50x = 11,707.23 × 4,946.03
  4. Step 4: Simplify right side
    8,483.50x = 57,904,310.80
  5. Step 5: Solve for x
    x = 57,904,310.80/8,483.50
  6. Step 6: Final answer
    x = 6,825.52

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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.