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Finding the Fourth Proportional to 11,900.66, 17,832.49 and 4,501.10

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Solution

The fourth proportional to 11,900.66, 17,832.49 and 4,501.10 is: 6,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.66 : 17,832.49 = 4,501.10 : x
  2. Step 2: Convert to fraction form
    11,900.66/17,832.49 = 4,501.10/x
  3. Step 3: Cross multiply
    11,900.66x = 17,832.49 × 4,501.10
  4. Step 4: Simplify right side
    11,900.66x = 80,265,854.07
  5. Step 5: Solve for x
    x = 80,265,854.07/11,900.66
  6. Step 6: Final answer
    x = 6,744.66

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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.