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Finding the Fourth Proportional to 10,305.43, 14,213.98 and 6,529.21

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Solution

The fourth proportional to 10,305.43, 14,213.98 and 6,529.21 is: 9,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.43 : 14,213.98 = 6,529.21 : x
  2. Step 2: Convert to fraction form
    10,305.43/14,213.98 = 6,529.21/x
  3. Step 3: Cross multiply
    10,305.43x = 14,213.98 × 6,529.21
  4. Step 4: Simplify right side
    10,305.43x = 92,806,032.98
  5. Step 5: Solve for x
    x = 92,806,032.98/10,305.43
  6. Step 6: Final answer
    x = 9,005.55

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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.