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Finding the Fourth Proportional to 11,278.62, 16,888.77 and 7,779.42

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Solution

The fourth proportional to 11,278.62, 16,888.77 and 7,779.42 is: 11,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.62 : 16,888.77 = 7,779.42 : x
  2. Step 2: Convert to fraction form
    11,278.62/16,888.77 = 7,779.42/x
  3. Step 3: Cross multiply
    11,278.62x = 16,888.77 × 7,779.42
  4. Step 4: Simplify right side
    11,278.62x = 131,384,835.11
  5. Step 5: Solve for x
    x = 131,384,835.11/11,278.62
  6. Step 6: Final answer
    x = 11,649.02

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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.