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Finding the Fourth Proportional to 6,518.72, 8,989.32 and 4,160

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Solution

The fourth proportional to 6,518.72, 8,989.32 and 4,160 is: 5,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.72 : 8,989.32 = 4,160 : x
  2. Step 2: Convert to fraction form
    6,518.72/8,989.32 = 4,160/x
  3. Step 3: Cross multiply
    6,518.72x = 8,989.32 × 4,160
  4. Step 4: Simplify right side
    6,518.72x = 37,395,571.20
  5. Step 5: Solve for x
    x = 37,395,571.20/6,518.72
  6. Step 6: Final answer
    x = 5,736.64

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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.