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Finding the Fourth Proportional to 11,835.40, 16,335.12 and 7,121.20

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Solution

The fourth proportional to 11,835.40, 16,335.12 and 7,121.20 is: 9,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.40 : 16,335.12 = 7,121.20 : x
  2. Step 2: Convert to fraction form
    11,835.40/16,335.12 = 7,121.20/x
  3. Step 3: Cross multiply
    11,835.40x = 16,335.12 × 7,121.20
  4. Step 4: Simplify right side
    11,835.40x = 116,325,656.54
  5. Step 5: Solve for x
    x = 116,325,656.54/11,835.40
  6. Step 6: Final answer
    x = 9,828.62

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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.