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Finding the Fourth Proportional to 11,448.36, 15,795.15 and 6,411.90

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Solution

The fourth proportional to 11,448.36, 15,795.15 and 6,411.90 is: 8,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.36 : 15,795.15 = 6,411.90 : x
  2. Step 2: Convert to fraction form
    11,448.36/15,795.15 = 6,411.90/x
  3. Step 3: Cross multiply
    11,448.36x = 15,795.15 × 6,411.90
  4. Step 4: Simplify right side
    11,448.36x = 101,276,922.29
  5. Step 5: Solve for x
    x = 101,276,922.29/11,448.36
  6. Step 6: Final answer
    x = 8,846.41

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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.