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Finding the Fourth Proportional to 11,653.78, 16,085.73 and 7,929.94

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Solution

The fourth proportional to 11,653.78, 16,085.73 and 7,929.94 is: 10,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.78 : 16,085.73 = 7,929.94 : x
  2. Step 2: Convert to fraction form
    11,653.78/16,085.73 = 7,929.94/x
  3. Step 3: Cross multiply
    11,653.78x = 16,085.73 × 7,929.94
  4. Step 4: Simplify right side
    11,653.78x = 127,558,873.76
  5. Step 5: Solve for x
    x = 127,558,873.76/11,653.78
  6. Step 6: Final answer
    x = 10,945.71

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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.