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Finding the Fourth Proportional to 10,751.84, 16,125.71 and 7,231.45

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Solution

The fourth proportional to 10,751.84, 16,125.71 and 7,231.45 is: 10,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.84 : 16,125.71 = 7,231.45 : x
  2. Step 2: Convert to fraction form
    10,751.84/16,125.71 = 7,231.45/x
  3. Step 3: Cross multiply
    10,751.84x = 16,125.71 × 7,231.45
  4. Step 4: Simplify right side
    10,751.84x = 116,612,285.04
  5. Step 5: Solve for x
    x = 116,612,285.04/10,751.84
  6. Step 6: Final answer
    x = 10,845.80

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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.