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Finding the Fourth Proportional to 10,467.34, 14,459.25 and 8,502.28

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Solution

The fourth proportional to 10,467.34, 14,459.25 and 8,502.28 is: 11,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.34 : 14,459.25 = 8,502.28 : x
  2. Step 2: Convert to fraction form
    10,467.34/14,459.25 = 8,502.28/x
  3. Step 3: Cross multiply
    10,467.34x = 14,459.25 × 8,502.28
  4. Step 4: Simplify right side
    10,467.34x = 122,936,592.09
  5. Step 5: Solve for x
    x = 122,936,592.09/10,467.34
  6. Step 6: Final answer
    x = 11,744.78

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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.