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Finding the Fourth Proportional to 6,771.57, 10,148.14 and 4,140.00

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Solution

The fourth proportional to 6,771.57, 10,148.14 and 4,140.00 is: 6,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.57 : 10,148.14 = 4,140.00 : x
  2. Step 2: Convert to fraction form
    6,771.57/10,148.14 = 4,140.00/x
  3. Step 3: Cross multiply
    6,771.57x = 10,148.14 × 4,140.00
  4. Step 4: Simplify right side
    6,771.57x = 42,013,267.22
  5. Step 5: Solve for x
    x = 42,013,267.22/6,771.57
  6. Step 6: Final answer
    x = 6,204.36

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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.