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Finding the Fourth Proportional to 11,900.52, 16,423.02 and 6,595.43

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Solution

The fourth proportional to 11,900.52, 16,423.02 and 6,595.43 is: 9,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.52 : 16,423.02 = 6,595.43 : x
  2. Step 2: Convert to fraction form
    11,900.52/16,423.02 = 6,595.43/x
  3. Step 3: Cross multiply
    11,900.52x = 16,423.02 × 6,595.43
  4. Step 4: Simplify right side
    11,900.52x = 108,316,796.68
  5. Step 5: Solve for x
    x = 108,316,796.68/11,900.52
  6. Step 6: Final answer
    x = 9,101.85

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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.