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Finding the Fourth Proportional to 10,895.67, 16,342.55 and 6,736.32

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Solution

The fourth proportional to 10,895.67, 16,342.55 and 6,736.32 is: 10,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.67 : 16,342.55 = 6,736.32 : x
  2. Step 2: Convert to fraction form
    10,895.67/16,342.55 = 6,736.32/x
  3. Step 3: Cross multiply
    10,895.67x = 16,342.55 × 6,736.32
  4. Step 4: Simplify right side
    10,895.67x = 110,088,646.42
  5. Step 5: Solve for x
    x = 110,088,646.42/10,895.67
  6. Step 6: Final answer
    x = 10,103.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.