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Finding the Fourth Proportional to 11,918.16, 17,883 and 4,903.35

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Solution

The fourth proportional to 11,918.16, 17,883 and 4,903.35 is: 7,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.16 : 17,883 = 4,903.35 : x
  2. Step 2: Convert to fraction form
    11,918.16/17,883 = 4,903.35/x
  3. Step 3: Cross multiply
    11,918.16x = 17,883 × 4,903.35
  4. Step 4: Simplify right side
    11,918.16x = 87,686,608.05
  5. Step 5: Solve for x
    x = 87,686,608.05/11,918.16
  6. Step 6: Final answer
    x = 7,357.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.