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Finding the Fourth Proportional to 4,765.14, 7,156.17 and 4,152.78

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Solution

The fourth proportional to 4,765.14, 7,156.17 and 4,152.78 is: 6,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.14 : 7,156.17 = 4,152.78 : x
  2. Step 2: Convert to fraction form
    4,765.14/7,156.17 = 4,152.78/x
  3. Step 3: Cross multiply
    4,765.14x = 7,156.17 × 4,152.78
  4. Step 4: Simplify right side
    4,765.14x = 29,717,999.65
  5. Step 5: Solve for x
    x = 29,717,999.65/4,765.14
  6. Step 6: Final answer
    x = 6,236.54

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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.