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Finding the Fourth Proportional to 10,683.80, 16,024.48 and 2,893.22

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Solution

The fourth proportional to 10,683.80, 16,024.48 and 2,893.22 is: 4,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.80 : 16,024.48 = 2,893.22 : x
  2. Step 2: Convert to fraction form
    10,683.80/16,024.48 = 2,893.22/x
  3. Step 3: Cross multiply
    10,683.80x = 16,024.48 × 2,893.22
  4. Step 4: Simplify right side
    10,683.80x = 46,362,258.67
  5. Step 5: Solve for x
    x = 46,362,258.67/10,683.80
  6. Step 6: Final answer
    x = 4,339.49

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Why These Related Problems?

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