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Finding the Fourth Proportional to 10,832.50, 16,248.84 and 2,624.50

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Solution

The fourth proportional to 10,832.50, 16,248.84 and 2,624.50 is: 3,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.50 : 16,248.84 = 2,624.50 : x
  2. Step 2: Convert to fraction form
    10,832.50/16,248.84 = 2,624.50/x
  3. Step 3: Cross multiply
    10,832.50x = 16,248.84 × 2,624.50
  4. Step 4: Simplify right side
    10,832.50x = 42,645,080.58
  5. Step 5: Solve for x
    x = 42,645,080.58/10,832.50
  6. Step 6: Final answer
    x = 3,936.77

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Why These Related Problems?

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