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Finding the Fourth Proportional to 8,424.32, 11,626.88 and 6,005.44

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Solution

The fourth proportional to 8,424.32, 11,626.88 and 6,005.44 is: 8,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.32 : 11,626.88 = 6,005.44 : x
  2. Step 2: Convert to fraction form
    8,424.32/11,626.88 = 6,005.44/x
  3. Step 3: Cross multiply
    8,424.32x = 11,626.88 × 6,005.44
  4. Step 4: Simplify right side
    8,424.32x = 69,824,530.23
  5. Step 5: Solve for x
    x = 69,824,530.23/8,424.32
  6. Step 6: Final answer
    x = 8,288.45

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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.