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Finding the Fourth Proportional to 8,252.64, 11,381.04 and 7,656.48

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Solution

The fourth proportional to 8,252.64, 11,381.04 and 7,656.48 is: 10,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.64 : 11,381.04 = 7,656.48 : x
  2. Step 2: Convert to fraction form
    8,252.64/11,381.04 = 7,656.48/x
  3. Step 3: Cross multiply
    8,252.64x = 11,381.04 × 7,656.48
  4. Step 4: Simplify right side
    8,252.64x = 87,138,705.14
  5. Step 5: Solve for x
    x = 87,138,705.14/8,252.64
  6. Step 6: Final answer
    x = 10,558.89

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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.