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Finding the Fourth Proportional to 11,505.32, 17,258 and 4,931

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Solution

The fourth proportional to 11,505.32, 17,258 and 4,931 is: 7,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.32 : 17,258 = 4,931 : x
  2. Step 2: Convert to fraction form
    11,505.32/17,258 = 4,931/x
  3. Step 3: Cross multiply
    11,505.32x = 17,258 × 4,931
  4. Step 4: Simplify right side
    11,505.32x = 85,099,198
  5. Step 5: Solve for x
    x = 85,099,198/11,505.32
  6. Step 6: Final answer
    x = 7,396.51

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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.