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Finding the Fourth Proportional to 11,830.99, 16,326.54 and 6,453.49

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Solution

The fourth proportional to 11,830.99, 16,326.54 and 6,453.49 is: 8,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.99 : 16,326.54 = 6,453.49 : x
  2. Step 2: Convert to fraction form
    11,830.99/16,326.54 = 6,453.49/x
  3. Step 3: Cross multiply
    11,830.99x = 16,326.54 × 6,453.49
  4. Step 4: Simplify right side
    11,830.99x = 105,363,162.62
  5. Step 5: Solve for x
    x = 105,363,162.62/11,830.99
  6. Step 6: Final answer
    x = 8,905.69

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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.