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Finding the Fourth Proportional to 11,477.37, 15,834.81 and 6,440.90

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Solution

The fourth proportional to 11,477.37, 15,834.81 and 6,440.90 is: 8,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.37 : 15,834.81 = 6,440.90 : x
  2. Step 2: Convert to fraction form
    11,477.37/15,834.81 = 6,440.90/x
  3. Step 3: Cross multiply
    11,477.37x = 15,834.81 × 6,440.90
  4. Step 4: Simplify right side
    11,477.37x = 101,990,427.73
  5. Step 5: Solve for x
    x = 101,990,427.73/11,477.37
  6. Step 6: Final answer
    x = 8,886.22

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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.