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Finding the Fourth Proportional to 11,624.32, 16,037.76 and 7,891.84

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Solution

The fourth proportional to 11,624.32, 16,037.76 and 7,891.84 is: 10,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.32 : 16,037.76 = 7,891.84 : x
  2. Step 2: Convert to fraction form
    11,624.32/16,037.76 = 7,891.84/x
  3. Step 3: Cross multiply
    11,624.32x = 16,037.76 × 7,891.84
  4. Step 4: Simplify right side
    11,624.32x = 126,567,435.88
  5. Step 5: Solve for x
    x = 126,567,435.88/11,624.32
  6. Step 6: Final answer
    x = 10,888.16

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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.