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Finding the Fourth Proportional to 8,683.44, 13,029.09 and 3,417

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Solution

The fourth proportional to 8,683.44, 13,029.09 and 3,417 is: 5,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.44 : 13,029.09 = 3,417 : x
  2. Step 2: Convert to fraction form
    8,683.44/13,029.09 = 3,417/x
  3. Step 3: Cross multiply
    8,683.44x = 13,029.09 × 3,417
  4. Step 4: Simplify right side
    8,683.44x = 44,520,400.53
  5. Step 5: Solve for x
    x = 44,520,400.53/8,683.44
  6. Step 6: Final answer
    x = 5,127.05

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