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Finding the Fourth Proportional to 10,596.72, 14,614.71 and 8,052.92

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Solution

The fourth proportional to 10,596.72, 14,614.71 and 8,052.92 is: 11,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.72 : 14,614.71 = 8,052.92 : x
  2. Step 2: Convert to fraction form
    10,596.72/14,614.71 = 8,052.92/x
  3. Step 3: Cross multiply
    10,596.72x = 14,614.71 × 8,052.92
  4. Step 4: Simplify right side
    10,596.72x = 117,691,017.38
  5. Step 5: Solve for x
    x = 117,691,017.38/10,596.72
  6. Step 6: Final answer
    x = 11,106.36

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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.