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Finding the Fourth Proportional to 27,605.31, 41,409.35 and 7,886.79

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Solution

The fourth proportional to 27,605.31, 41,409.35 and 7,886.79 is: 11,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.31 : 41,409.35 = 7,886.79 : x
  2. Step 2: Convert to fraction form
    27,605.31/41,409.35 = 7,886.79/x
  3. Step 3: Cross multiply
    27,605.31x = 41,409.35 × 7,886.79
  4. Step 4: Simplify right side
    27,605.31x = 326,586,808.05
  5. Step 5: Solve for x
    x = 326,586,808.05/27,605.31
  6. Step 6: Final answer
    x = 11,830.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.