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Finding the Fourth Proportional to 8,664, 11,956.48 and 6,184.32

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Solution

The fourth proportional to 8,664, 11,956.48 and 6,184.32 is: 8,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664 : 11,956.48 = 6,184.32 : x
  2. Step 2: Convert to fraction form
    8,664/11,956.48 = 6,184.32/x
  3. Step 3: Cross multiply
    8,664x = 11,956.48 × 6,184.32
  4. Step 4: Simplify right side
    8,664x = 73,942,698.39
  5. Step 5: Solve for x
    x = 73,942,698.39/8,664
  6. Step 6: Final answer
    x = 8,534.48

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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.