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Finding the Fourth Proportional to 11,888.20, 16,408.47 and 7,909.48

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Solution

The fourth proportional to 11,888.20, 16,408.47 and 7,909.48 is: 10,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.20 : 16,408.47 = 7,909.48 : x
  2. Step 2: Convert to fraction form
    11,888.20/16,408.47 = 7,909.48/x
  3. Step 3: Cross multiply
    11,888.20x = 16,408.47 × 7,909.48
  4. Step 4: Simplify right side
    11,888.20x = 129,782,465.30
  5. Step 5: Solve for x
    x = 129,782,465.30/11,888.20
  6. Step 6: Final answer
    x = 10,916.91

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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.