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Finding the Fourth Proportional to 10,751.64, 16,133.68 and 4,511.09

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Solution

The fourth proportional to 10,751.64, 16,133.68 and 4,511.09 is: 6,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.64 : 16,133.68 = 4,511.09 : x
  2. Step 2: Convert to fraction form
    10,751.64/16,133.68 = 4,511.09/x
  3. Step 3: Cross multiply
    10,751.64x = 16,133.68 × 4,511.09
  4. Step 4: Simplify right side
    10,751.64x = 72,780,482.51
  5. Step 5: Solve for x
    x = 72,780,482.51/10,751.64
  6. Step 6: Final answer
    x = 6,769.24

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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.