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Finding the Fourth Proportional to 6,857.64, 10,272.06 and 6,779.88

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Solution

The fourth proportional to 6,857.64, 10,272.06 and 6,779.88 is: 10,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.64 : 10,272.06 = 6,779.88 : x
  2. Step 2: Convert to fraction form
    6,857.64/10,272.06 = 6,779.88/x
  3. Step 3: Cross multiply
    6,857.64x = 10,272.06 × 6,779.88
  4. Step 4: Simplify right side
    6,857.64x = 69,643,334.15
  5. Step 5: Solve for x
    x = 69,643,334.15/6,857.64
  6. Step 6: Final answer
    x = 10,155.58

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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.