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Finding the Fourth Proportional to 11,842.30, 16,342.16 and 6,537.00

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Solution

The fourth proportional to 11,842.30, 16,342.16 and 6,537.00 is: 9,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.30 : 16,342.16 = 6,537.00 : x
  2. Step 2: Convert to fraction form
    11,842.30/16,342.16 = 6,537.00/x
  3. Step 3: Cross multiply
    11,842.30x = 16,342.16 × 6,537.00
  4. Step 4: Simplify right side
    11,842.30x = 106,828,728.52
  5. Step 5: Solve for x
    x = 106,828,728.52/11,842.30
  6. Step 6: Final answer
    x = 9,020.94

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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.