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Finding the Fourth Proportional to 27,378.12, 41,060.92 and 7,658.08

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Solution

The fourth proportional to 27,378.12, 41,060.92 and 7,658.08 is: 11,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.12 : 41,060.92 = 7,658.08 : x
  2. Step 2: Convert to fraction form
    27,378.12/41,060.92 = 7,658.08/x
  3. Step 3: Cross multiply
    27,378.12x = 41,060.92 × 7,658.08
  4. Step 4: Simplify right side
    27,378.12x = 314,447,810.23
  5. Step 5: Solve for x
    x = 314,447,810.23/27,378.12
  6. Step 6: Final answer
    x = 11,485.37

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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.