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Finding the Fourth Proportional to 11,446.98, 15,790.38 and 6,666.36

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Solution

The fourth proportional to 11,446.98, 15,790.38 and 6,666.36 is: 9,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.98 : 15,790.38 = 6,666.36 : x
  2. Step 2: Convert to fraction form
    11,446.98/15,790.38 = 6,666.36/x
  3. Step 3: Cross multiply
    11,446.98x = 15,790.38 × 6,666.36
  4. Step 4: Simplify right side
    11,446.98x = 105,264,357.62
  5. Step 5: Solve for x
    x = 105,264,357.62/11,446.98
  6. Step 6: Final answer
    x = 9,195.82

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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.