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Finding the Fourth Proportional to 6,460.08, 8,856.66 and 6,343.44

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Solution

The fourth proportional to 6,460.08, 8,856.66 and 6,343.44 is: 8,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.08 : 8,856.66 = 6,343.44 : x
  2. Step 2: Convert to fraction form
    6,460.08/8,856.66 = 6,343.44/x
  3. Step 3: Cross multiply
    6,460.08x = 8,856.66 × 6,343.44
  4. Step 4: Simplify right side
    6,460.08x = 56,181,691.31
  5. Step 5: Solve for x
    x = 56,181,691.31/6,460.08
  6. Step 6: Final answer
    x = 8,696.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.