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Finding the Fourth Proportional to 11,648.66, 17,462.51 and 4,247.96

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Solution

The fourth proportional to 11,648.66, 17,462.51 and 4,247.96 is: 6,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.66 : 17,462.51 = 4,247.96 : x
  2. Step 2: Convert to fraction form
    11,648.66/17,462.51 = 4,247.96/x
  3. Step 3: Cross multiply
    11,648.66x = 17,462.51 × 4,247.96
  4. Step 4: Simplify right side
    11,648.66x = 74,180,022.74
  5. Step 5: Solve for x
    x = 74,180,022.74/11,648.66
  6. Step 6: Final answer
    x = 6,368.12

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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.