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Finding the Fourth Proportional to 4,765.14, 7,133.52 and 4,264.56

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Solution

The fourth proportional to 4,765.14, 7,133.52 and 4,264.56 is: 6,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.14 : 7,133.52 = 4,264.56 : x
  2. Step 2: Convert to fraction form
    4,765.14/7,133.52 = 4,264.56/x
  3. Step 3: Cross multiply
    4,765.14x = 7,133.52 × 4,264.56
  4. Step 4: Simplify right side
    4,765.14x = 30,421,324.05
  5. Step 5: Solve for x
    x = 30,421,324.05/4,765.14
  6. Step 6: Final answer
    x = 6,384.14

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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.