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Finding the Fourth Proportional to 11,184.99, 16,780.22 and 5,565.30

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Solution

The fourth proportional to 11,184.99, 16,780.22 and 5,565.30 is: 8,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.99 : 16,780.22 = 5,565.30 : x
  2. Step 2: Convert to fraction form
    11,184.99/16,780.22 = 5,565.30/x
  3. Step 3: Cross multiply
    11,184.99x = 16,780.22 × 5,565.30
  4. Step 4: Simplify right side
    11,184.99x = 93,386,958.37
  5. Step 5: Solve for x
    x = 93,386,958.37/11,184.99
  6. Step 6: Final answer
    x = 8,349.31

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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.