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Finding the Fourth Proportional to 6,810.09, 10,205.55 and 5,417.25

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Solution

The fourth proportional to 6,810.09, 10,205.55 and 5,417.25 is: 8,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.09 : 10,205.55 = 5,417.25 : x
  2. Step 2: Convert to fraction form
    6,810.09/10,205.55 = 5,417.25/x
  3. Step 3: Cross multiply
    6,810.09x = 10,205.55 × 5,417.25
  4. Step 4: Simplify right side
    6,810.09x = 55,286,015.74
  5. Step 5: Solve for x
    x = 55,286,015.74/6,810.09
  6. Step 6: Final answer
    x = 8,118.25

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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.