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Finding the Fourth Proportional to 11,844.40, 16,345.20 and 7,127.68

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Solution

The fourth proportional to 11,844.40, 16,345.20 and 7,127.68 is: 9,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.40 : 16,345.20 = 7,127.68 : x
  2. Step 2: Convert to fraction form
    11,844.40/16,345.20 = 7,127.68/x
  3. Step 3: Cross multiply
    11,844.40x = 16,345.20 × 7,127.68
  4. Step 4: Simplify right side
    11,844.40x = 116,503,355.14
  5. Step 5: Solve for x
    x = 116,503,355.14/11,844.40
  6. Step 6: Final answer
    x = 9,836.16

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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.