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Finding the Fourth Proportional to 11,741.76, 16,208.69 and 7,025.13

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Solution

The fourth proportional to 11,741.76, 16,208.69 and 7,025.13 is: 9,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.76 : 16,208.69 = 7,025.13 : x
  2. Step 2: Convert to fraction form
    11,741.76/16,208.69 = 7,025.13/x
  3. Step 3: Cross multiply
    11,741.76x = 16,208.69 × 7,025.13
  4. Step 4: Simplify right side
    11,741.76x = 113,868,154.38
  5. Step 5: Solve for x
    x = 113,868,154.38/11,741.76
  6. Step 6: Final answer
    x = 9,697.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.