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Finding the Fourth Proportional to 8,504.32, 12,733.92 and 4,596.64

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Solution

The fourth proportional to 8,504.32, 12,733.92 and 4,596.64 is: 6,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.32 : 12,733.92 = 4,596.64 : x
  2. Step 2: Convert to fraction form
    8,504.32/12,733.92 = 4,596.64/x
  3. Step 3: Cross multiply
    8,504.32x = 12,733.92 × 4,596.64
  4. Step 4: Simplify right side
    8,504.32x = 58,533,246.03
  5. Step 5: Solve for x
    x = 58,533,246.03/8,504.32
  6. Step 6: Final answer
    x = 6,882.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.