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Finding the Fourth Proportional to 11,326.26, 16,988.92 and 5,779.50

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Solution

The fourth proportional to 11,326.26, 16,988.92 and 5,779.50 is: 8,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.26 : 16,988.92 = 5,779.50 : x
  2. Step 2: Convert to fraction form
    11,326.26/16,988.92 = 5,779.50/x
  3. Step 3: Cross multiply
    11,326.26x = 16,988.92 × 5,779.50
  4. Step 4: Simplify right side
    11,326.26x = 98,187,463.14
  5. Step 5: Solve for x
    x = 98,187,463.14/11,326.26
  6. Step 6: Final answer
    x = 8,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.