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Finding the Fourth Proportional to 11,378.07, 15,699.42 and 6,661.44

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Solution

The fourth proportional to 11,378.07, 15,699.42 and 6,661.44 is: 9,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.07 : 15,699.42 = 6,661.44 : x
  2. Step 2: Convert to fraction form
    11,378.07/15,699.42 = 6,661.44/x
  3. Step 3: Cross multiply
    11,378.07x = 15,699.42 × 6,661.44
  4. Step 4: Simplify right side
    11,378.07x = 104,580,744.36
  5. Step 5: Solve for x
    x = 104,580,744.36/11,378.07
  6. Step 6: Final answer
    x = 9,191.43

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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.