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Finding the Fourth Proportional to 6,820.58, 9,406.86 and 5,887.46

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Solution

The fourth proportional to 6,820.58, 9,406.86 and 5,887.46 is: 8,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.58 : 9,406.86 = 5,887.46 : x
  2. Step 2: Convert to fraction form
    6,820.58/9,406.86 = 5,887.46/x
  3. Step 3: Cross multiply
    6,820.58x = 9,406.86 × 5,887.46
  4. Step 4: Simplify right side
    6,820.58x = 55,382,511.98
  5. Step 5: Solve for x
    x = 55,382,511.98/6,820.58
  6. Step 6: Final answer
    x = 8,119.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.