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Finding the Fourth Proportional to 10,703.34, 16,033.14 and 8,611.92

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Solution

The fourth proportional to 10,703.34, 16,033.14 and 8,611.92 is: 12,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.34 : 16,033.14 = 8,611.92 : x
  2. Step 2: Convert to fraction form
    10,703.34/16,033.14 = 8,611.92/x
  3. Step 3: Cross multiply
    10,703.34x = 16,033.14 × 8,611.92
  4. Step 4: Simplify right side
    10,703.34x = 138,076,119.03
  5. Step 5: Solve for x
    x = 138,076,119.03/10,703.34
  6. Step 6: Final answer
    x = 12,900.28

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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.