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Finding the Fourth Proportional to 11,900.24, 16,422.88 and 6,595.06

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Solution

The fourth proportional to 11,900.24, 16,422.88 and 6,595.06 is: 9,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.24 : 16,422.88 = 6,595.06 : x
  2. Step 2: Convert to fraction form
    11,900.24/16,422.88 = 6,595.06/x
  3. Step 3: Cross multiply
    11,900.24x = 16,422.88 × 6,595.06
  4. Step 4: Simplify right side
    11,900.24x = 108,309,827.73
  5. Step 5: Solve for x
    x = 108,309,827.73/11,900.24
  6. Step 6: Final answer
    x = 9,101.48

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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.