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Finding the Fourth Proportional to 10,996.32, 16,482.96 and 5,148

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Solution

The fourth proportional to 10,996.32, 16,482.96 and 5,148 is: 7,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.32 : 16,482.96 = 5,148 : x
  2. Step 2: Convert to fraction form
    10,996.32/16,482.96 = 5,148/x
  3. Step 3: Cross multiply
    10,996.32x = 16,482.96 × 5,148
  4. Step 4: Simplify right side
    10,996.32x = 84,854,278.08
  5. Step 5: Solve for x
    x = 84,854,278.08/10,996.32
  6. Step 6: Final answer
    x = 7,716.61

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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.