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Finding the Fourth Proportional to 11,706.19, 16,154.61 and 7,514.44

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Solution

The fourth proportional to 11,706.19, 16,154.61 and 7,514.44 is: 10,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.19 : 16,154.61 = 7,514.44 : x
  2. Step 2: Convert to fraction form
    11,706.19/16,154.61 = 7,514.44/x
  3. Step 3: Cross multiply
    11,706.19x = 16,154.61 × 7,514.44
  4. Step 4: Simplify right side
    11,706.19x = 121,392,779.00
  5. Step 5: Solve for x
    x = 121,392,779.00/11,706.19
  6. Step 6: Final answer
    x = 10,369.97

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