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Finding the Fourth Proportional to 10,729.94, 16,051.13 and 8,652.29

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Solution

The fourth proportional to 10,729.94, 16,051.13 and 8,652.29 is: 12,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.94 : 16,051.13 = 8,652.29 : x
  2. Step 2: Convert to fraction form
    10,729.94/16,051.13 = 8,652.29/x
  3. Step 3: Cross multiply
    10,729.94x = 16,051.13 × 8,652.29
  4. Step 4: Simplify right side
    10,729.94x = 138,878,940.52
  5. Step 5: Solve for x
    x = 138,878,940.52/10,729.94
  6. Step 6: Final answer
    x = 12,943.13

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Why These Related Problems?

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