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Finding the Fourth Proportional to 6,765.90, 10,152.10 and 2,385.42

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Solution

The fourth proportional to 6,765.90, 10,152.10 and 2,385.42 is: 3,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.90 : 10,152.10 = 2,385.42 : x
  2. Step 2: Convert to fraction form
    6,765.90/10,152.10 = 2,385.42/x
  3. Step 3: Cross multiply
    6,765.90x = 10,152.10 × 2,385.42
  4. Step 4: Simplify right side
    6,765.90x = 24,217,022.38
  5. Step 5: Solve for x
    x = 24,217,022.38/6,765.90
  6. Step 6: Final answer
    x = 3,579.28

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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.