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Finding the Fourth Proportional to 5,190.63, 7,765.10 and 4,011.70

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Solution

The fourth proportional to 5,190.63, 7,765.10 and 4,011.70 is: 6,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.63 : 7,765.10 = 4,011.70 : x
  2. Step 2: Convert to fraction form
    5,190.63/7,765.10 = 4,011.70/x
  3. Step 3: Cross multiply
    5,190.63x = 7,765.10 × 4,011.70
  4. Step 4: Simplify right side
    5,190.63x = 31,151,280.57
  5. Step 5: Solve for x
    x = 31,151,280.57/5,190.63
  6. Step 6: Final answer
    x = 6,001.44

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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.