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Finding the Fourth Proportional to 12,407.48, 17,115.90 and 7,683.56

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Solution

The fourth proportional to 12,407.48, 17,115.90 and 7,683.56 is: 10,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.48 : 17,115.90 = 7,683.56 : x
  2. Step 2: Convert to fraction form
    12,407.48/17,115.90 = 7,683.56/x
  3. Step 3: Cross multiply
    12,407.48x = 17,115.90 × 7,683.56
  4. Step 4: Simplify right side
    12,407.48x = 131,511,044.60
  5. Step 5: Solve for x
    x = 131,511,044.60/12,407.48
  6. Step 6: Final answer
    x = 10,599.34

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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.