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Finding the Fourth Proportional to 11,119.40, 16,683.96 and 5,924

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Solution

The fourth proportional to 11,119.40, 16,683.96 and 5,924 is: 8,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.40 : 16,683.96 = 5,924 : x
  2. Step 2: Convert to fraction form
    11,119.40/16,683.96 = 5,924/x
  3. Step 3: Cross multiply
    11,119.40x = 16,683.96 × 5,924
  4. Step 4: Simplify right side
    11,119.40x = 98,835,779.04
  5. Step 5: Solve for x
    x = 98,835,779.04/11,119.40
  6. Step 6: Final answer
    x = 8,888.59

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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.