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Finding the Fourth Proportional to 27,509.40, 41,259.54 and 7,783.44

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Solution

The fourth proportional to 27,509.40, 41,259.54 and 7,783.44 is: 11,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.40 : 41,259.54 = 7,783.44 : x
  2. Step 2: Convert to fraction form
    27,509.40/41,259.54 = 7,783.44/x
  3. Step 3: Cross multiply
    27,509.40x = 41,259.54 × 7,783.44
  4. Step 4: Simplify right side
    27,509.40x = 321,141,154.02
  5. Step 5: Solve for x
    x = 321,141,154.02/27,509.40
  6. Step 6: Final answer
    x = 11,673.87

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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.