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Finding the Fourth Proportional to 10,751.65, 16,128.49 and 4,178.34

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Solution

The fourth proportional to 10,751.65, 16,128.49 and 4,178.34 is: 6,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.65 : 16,128.49 = 4,178.34 : x
  2. Step 2: Convert to fraction form
    10,751.65/16,128.49 = 4,178.34/x
  3. Step 3: Cross multiply
    10,751.65x = 16,128.49 × 4,178.34
  4. Step 4: Simplify right side
    10,751.65x = 67,390,314.91
  5. Step 5: Solve for x
    x = 67,390,314.91/10,751.65
  6. Step 6: Final answer
    x = 6,267.90

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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.