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Finding the Fourth Proportional to 10,511.64, 14,506.09 and 5,795.96

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Solution

The fourth proportional to 10,511.64, 14,506.09 and 5,795.96 is: 7,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.64 : 14,506.09 = 5,795.96 : x
  2. Step 2: Convert to fraction form
    10,511.64/14,506.09 = 5,795.96/x
  3. Step 3: Cross multiply
    10,511.64x = 14,506.09 × 5,795.96
  4. Step 4: Simplify right side
    10,511.64x = 84,076,630.38
  5. Step 5: Solve for x
    x = 84,076,630.38/10,511.64
  6. Step 6: Final answer
    x = 7,998.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.