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Finding the Fourth Proportional to 11,440.94, 15,788.79 and 6,405.14

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Solution

The fourth proportional to 11,440.94, 15,788.79 and 6,405.14 is: 8,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.94 : 15,788.79 = 6,405.14 : x
  2. Step 2: Convert to fraction form
    11,440.94/15,788.79 = 6,405.14/x
  3. Step 3: Cross multiply
    11,440.94x = 15,788.79 × 6,405.14
  4. Step 4: Simplify right side
    11,440.94x = 101,129,449.85
  5. Step 5: Solve for x
    x = 101,129,449.85/11,440.94
  6. Step 6: Final answer
    x = 8,839.26

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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.