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Finding the Fourth Proportional to 6,858.12, 10,292.94 and 5,498.76

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Solution

The fourth proportional to 6,858.12, 10,292.94 and 5,498.76 is: 8,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.12 : 10,292.94 = 5,498.76 : x
  2. Step 2: Convert to fraction form
    6,858.12/10,292.94 = 5,498.76/x
  3. Step 3: Cross multiply
    6,858.12x = 10,292.94 × 5,498.76
  4. Step 4: Simplify right side
    6,858.12x = 56,598,406.75
  5. Step 5: Solve for x
    x = 56,598,406.75/6,858.12
  6. Step 6: Final answer
    x = 8,252.76

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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.