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Finding the Fourth Proportional to 6,810.90, 10,201.77 and 4,205.94

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Solution

The fourth proportional to 6,810.90, 10,201.77 and 4,205.94 is: 6,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.90 : 10,201.77 = 4,205.94 : x
  2. Step 2: Convert to fraction form
    6,810.90/10,201.77 = 4,205.94/x
  3. Step 3: Cross multiply
    6,810.90x = 10,201.77 × 4,205.94
  4. Step 4: Simplify right side
    6,810.90x = 42,908,032.51
  5. Step 5: Solve for x
    x = 42,908,032.51/6,810.90
  6. Step 6: Final answer
    x = 6,299.91

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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.