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Finding the Fourth Proportional to 11,595.36, 16,000.94 and 6,814.56

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Solution

The fourth proportional to 11,595.36, 16,000.94 and 6,814.56 is: 9,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.36 : 16,000.94 = 6,814.56 : x
  2. Step 2: Convert to fraction form
    11,595.36/16,000.94 = 6,814.56/x
  3. Step 3: Cross multiply
    11,595.36x = 16,000.94 × 6,814.56
  4. Step 4: Simplify right side
    11,595.36x = 109,039,331.61
  5. Step 5: Solve for x
    x = 109,039,331.61/11,595.36
  6. Step 6: Final answer
    x = 9,403.70

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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.