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Finding the Fourth Proportional to 11,904.40, 16,442.09 and 7,918.39

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Solution

The fourth proportional to 11,904.40, 16,442.09 and 7,918.39 is: 10,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.40 : 16,442.09 = 7,918.39 : x
  2. Step 2: Convert to fraction form
    11,904.40/16,442.09 = 7,918.39/x
  3. Step 3: Cross multiply
    11,904.40x = 16,442.09 × 7,918.39
  4. Step 4: Simplify right side
    11,904.40x = 130,194,881.04
  5. Step 5: Solve for x
    x = 130,194,881.04/11,904.40
  6. Step 6: Final answer
    x = 10,936.70

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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.