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Finding the Fourth Proportional to 27,653.52, 41,480.46 and 6,877.20

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Solution

The fourth proportional to 27,653.52, 41,480.46 and 6,877.20 is: 10,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.52 : 41,480.46 = 6,877.20 : x
  2. Step 2: Convert to fraction form
    27,653.52/41,480.46 = 6,877.20/x
  3. Step 3: Cross multiply
    27,653.52x = 41,480.46 × 6,877.20
  4. Step 4: Simplify right side
    27,653.52x = 285,269,419.51
  5. Step 5: Solve for x
    x = 285,269,419.51/27,653.52
  6. Step 6: Final answer
    x = 10,315.84

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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.