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Finding the Fourth Proportional to 4,765.64, 7,135.16 and 4,327.34

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Solution

The fourth proportional to 4,765.64, 7,135.16 and 4,327.34 is: 6,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.64 : 7,135.16 = 4,327.34 : x
  2. Step 2: Convert to fraction form
    4,765.64/7,135.16 = 4,327.34/x
  3. Step 3: Cross multiply
    4,765.64x = 7,135.16 × 4,327.34
  4. Step 4: Simplify right side
    4,765.64x = 30,876,263.27
  5. Step 5: Solve for x
    x = 30,876,263.27/4,765.64
  6. Step 6: Final answer
    x = 6,478.93

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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.