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Finding the Fourth Proportional to 11,780.94, 16,250.93 and 7,357.26

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Solution

The fourth proportional to 11,780.94, 16,250.93 and 7,357.26 is: 10,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.94 : 16,250.93 = 7,357.26 : x
  2. Step 2: Convert to fraction form
    11,780.94/16,250.93 = 7,357.26/x
  3. Step 3: Cross multiply
    11,780.94x = 16,250.93 × 7,357.26
  4. Step 4: Simplify right side
    11,780.94x = 119,562,317.25
  5. Step 5: Solve for x
    x = 119,562,317.25/11,780.94
  6. Step 6: Final answer
    x = 10,148.79

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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.