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Finding the Fourth Proportional to 27,376.71, 41,065.20 and 7,656.99

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Solution

The fourth proportional to 27,376.71, 41,065.20 and 7,656.99 is: 11,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376.71 : 41,065.20 = 7,656.99 : x
  2. Step 2: Convert to fraction form
    27,376.71/41,065.20 = 7,656.99/x
  3. Step 3: Cross multiply
    27,376.71x = 41,065.20 × 7,656.99
  4. Step 4: Simplify right side
    27,376.71x = 314,435,825.75
  5. Step 5: Solve for x
    x = 314,435,825.75/27,376.71
  6. Step 6: Final answer
    x = 11,485.52

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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.