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Finding the Fourth Proportional to 27,378.30, 41,061.15 and 7,658.22

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Solution

The fourth proportional to 27,378.30, 41,061.15 and 7,658.22 is: 11,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.30 : 41,061.15 = 7,658.22 : x
  2. Step 2: Convert to fraction form
    27,378.30/41,061.15 = 7,658.22/x
  3. Step 3: Cross multiply
    27,378.30x = 41,061.15 × 7,658.22
  4. Step 4: Simplify right side
    27,378.30x = 314,455,320.15
  5. Step 5: Solve for x
    x = 314,455,320.15/27,378.30
  6. Step 6: Final answer
    x = 11,485.57

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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.