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Finding the Fourth Proportional to 11,952.95, 16,495.46 and 6,575.61

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Solution

The fourth proportional to 11,952.95, 16,495.46 and 6,575.61 is: 9,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.95 : 16,495.46 = 6,575.61 : x
  2. Step 2: Convert to fraction form
    11,952.95/16,495.46 = 6,575.61/x
  3. Step 3: Cross multiply
    11,952.95x = 16,495.46 × 6,575.61
  4. Step 4: Simplify right side
    11,952.95x = 108,467,711.73
  5. Step 5: Solve for x
    x = 108,467,711.73/11,952.95
  6. Step 6: Final answer
    x = 9,074.56

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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.