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Finding the Fourth Proportional to 11,484.99, 17,205.57 and 7,780.86

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Solution

The fourth proportional to 11,484.99, 17,205.57 and 7,780.86 is: 11,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.99 : 17,205.57 = 7,780.86 : x
  2. Step 2: Convert to fraction form
    11,484.99/17,205.57 = 7,780.86/x
  3. Step 3: Cross multiply
    11,484.99x = 17,205.57 × 7,780.86
  4. Step 4: Simplify right side
    11,484.99x = 133,874,131.39
  5. Step 5: Solve for x
    x = 133,874,131.39/11,484.99
  6. Step 6: Final answer
    x = 11,656.44

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