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Finding the Fourth Proportional to 11,602.38, 16,011.36 and 6,566.80

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Solution

The fourth proportional to 11,602.38, 16,011.36 and 6,566.80 is: 9,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.38 : 16,011.36 = 6,566.80 : x
  2. Step 2: Convert to fraction form
    11,602.38/16,011.36 = 6,566.80/x
  3. Step 3: Cross multiply
    11,602.38x = 16,011.36 × 6,566.80
  4. Step 4: Simplify right side
    11,602.38x = 105,143,398.85
  5. Step 5: Solve for x
    x = 105,143,398.85/11,602.38
  6. Step 6: Final answer
    x = 9,062.23

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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.