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Finding the Fourth Proportional to 11,842.29, 16,342.33 and 6,537.07

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Solution

The fourth proportional to 11,842.29, 16,342.33 and 6,537.07 is: 9,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.29 : 16,342.33 = 6,537.07 : x
  2. Step 2: Convert to fraction form
    11,842.29/16,342.33 = 6,537.07/x
  3. Step 3: Cross multiply
    11,842.29x = 16,342.33 × 6,537.07
  4. Step 4: Simplify right side
    11,842.29x = 106,830,959.26
  5. Step 5: Solve for x
    x = 106,830,959.26/11,842.29
  6. Step 6: Final answer
    x = 9,021.14

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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.