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Finding the Fourth Proportional to 11,699.23, 16,144.56 and 7,394.63

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Solution

The fourth proportional to 11,699.23, 16,144.56 and 7,394.63 is: 10,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.23 : 16,144.56 = 7,394.63 : x
  2. Step 2: Convert to fraction form
    11,699.23/16,144.56 = 7,394.63/x
  3. Step 3: Cross multiply
    11,699.23x = 16,144.56 × 7,394.63
  4. Step 4: Simplify right side
    11,699.23x = 119,383,047.71
  5. Step 5: Solve for x
    x = 119,383,047.71/11,699.23
  6. Step 6: Final answer
    x = 10,204.35

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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.