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Finding the Fourth Proportional to 7,803.14, 10,768.50 and 4,266.68

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Solution

The fourth proportional to 7,803.14, 10,768.50 and 4,266.68 is: 5,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.14 : 10,768.50 = 4,266.68 : x
  2. Step 2: Convert to fraction form
    7,803.14/10,768.50 = 4,266.68/x
  3. Step 3: Cross multiply
    7,803.14x = 10,768.50 × 4,266.68
  4. Step 4: Simplify right side
    7,803.14x = 45,945,743.58
  5. Step 5: Solve for x
    x = 45,945,743.58/7,803.14
  6. Step 6: Final answer
    x = 5,888.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.