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Finding the Fourth Proportional to 12,053.56, 16,633.73 and 6,748.57

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Solution

The fourth proportional to 12,053.56, 16,633.73 and 6,748.57 is: 9,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.56 : 16,633.73 = 6,748.57 : x
  2. Step 2: Convert to fraction form
    12,053.56/16,633.73 = 6,748.57/x
  3. Step 3: Cross multiply
    12,053.56x = 16,633.73 × 6,748.57
  4. Step 4: Simplify right side
    12,053.56x = 112,253,816.38
  5. Step 5: Solve for x
    x = 112,253,816.38/12,053.56
  6. Step 6: Final answer
    x = 9,312.92

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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.