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Finding the Fourth Proportional to 10,083.44, 15,129.94 and 5,407.36

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Solution

The fourth proportional to 10,083.44, 15,129.94 and 5,407.36 is: 8,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.44 : 15,129.94 = 5,407.36 : x
  2. Step 2: Convert to fraction form
    10,083.44/15,129.94 = 5,407.36/x
  3. Step 3: Cross multiply
    10,083.44x = 15,129.94 × 5,407.36
  4. Step 4: Simplify right side
    10,083.44x = 81,812,991.15
  5. Step 5: Solve for x
    x = 81,812,991.15/10,083.44
  6. Step 6: Final answer
    x = 8,113.60

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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.