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Finding the Fourth Proportional to 10,727.70, 16,085.02 and 4,803.46

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Solution

The fourth proportional to 10,727.70, 16,085.02 and 4,803.46 is: 7,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.70 : 16,085.02 = 4,803.46 : x
  2. Step 2: Convert to fraction form
    10,727.70/16,085.02 = 4,803.46/x
  3. Step 3: Cross multiply
    10,727.70x = 16,085.02 × 4,803.46
  4. Step 4: Simplify right side
    10,727.70x = 77,263,750.17
  5. Step 5: Solve for x
    x = 77,263,750.17/10,727.70
  6. Step 6: Final answer
    x = 7,202.27

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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.