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Finding the Fourth Proportional to 6,519.60, 8,999.64 and 4,165.20

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Solution

The fourth proportional to 6,519.60, 8,999.64 and 4,165.20 is: 5,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.60 : 8,999.64 = 4,165.20 : x
  2. Step 2: Convert to fraction form
    6,519.60/8,999.64 = 4,165.20/x
  3. Step 3: Cross multiply
    6,519.60x = 8,999.64 × 4,165.20
  4. Step 4: Simplify right side
    6,519.60x = 37,485,300.53
  5. Step 5: Solve for x
    x = 37,485,300.53/6,519.60
  6. Step 6: Final answer
    x = 5,749.63

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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.