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Finding the Fourth Proportional to 6,805.74, 10,201.50 and 4,614.60

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Solution

The fourth proportional to 6,805.74, 10,201.50 and 4,614.60 is: 6,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.74 : 10,201.50 = 4,614.60 : x
  2. Step 2: Convert to fraction form
    6,805.74/10,201.50 = 4,614.60/x
  3. Step 3: Cross multiply
    6,805.74x = 10,201.50 × 4,614.60
  4. Step 4: Simplify right side
    6,805.74x = 47,075,841.90
  5. Step 5: Solve for x
    x = 47,075,841.90/6,805.74
  6. Step 6: Final answer
    x = 6,917.08

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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.