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Finding the Fourth Proportional to 10,877.68, 16,315.98 and 3,085.48

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Solution

The fourth proportional to 10,877.68, 16,315.98 and 3,085.48 is: 4,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.68 : 16,315.98 = 3,085.48 : x
  2. Step 2: Convert to fraction form
    10,877.68/16,315.98 = 3,085.48/x
  3. Step 3: Cross multiply
    10,877.68x = 16,315.98 × 3,085.48
  4. Step 4: Simplify right side
    10,877.68x = 50,342,629.97
  5. Step 5: Solve for x
    x = 50,342,629.97/10,877.68
  6. Step 6: Final answer
    x = 4,628.07

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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.