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Finding the Fourth Proportional to 10,751.72, 16,130.62 and 9,723.56

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Solution

The fourth proportional to 10,751.72, 16,130.62 and 9,723.56 is: 14,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.72 : 16,130.62 = 9,723.56 : x
  2. Step 2: Convert to fraction form
    10,751.72/16,130.62 = 9,723.56/x
  3. Step 3: Cross multiply
    10,751.72x = 16,130.62 × 9,723.56
  4. Step 4: Simplify right side
    10,751.72x = 156,847,051.41
  5. Step 5: Solve for x
    x = 156,847,051.41/10,751.72
  6. Step 6: Final answer
    x = 14,588.09

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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.