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Finding the Fourth Proportional to 27,509.95, 41,260.33 and 7,783.62

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Solution

The fourth proportional to 27,509.95, 41,260.33 and 7,783.62 is: 11,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.95 : 41,260.33 = 7,783.62 : x
  2. Step 2: Convert to fraction form
    27,509.95/41,260.33 = 7,783.62/x
  3. Step 3: Cross multiply
    27,509.95x = 41,260.33 × 7,783.62
  4. Step 4: Simplify right side
    27,509.95x = 321,154,729.79
  5. Step 5: Solve for x
    x = 321,154,729.79/27,509.95
  6. Step 6: Final answer
    x = 11,674.13

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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.