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Finding the Fourth Proportional to 11,648.65, 17,462.50 and 4,247.95

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Solution

The fourth proportional to 11,648.65, 17,462.50 and 4,247.95 is: 6,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.65 : 17,462.50 = 4,247.95 : x
  2. Step 2: Convert to fraction form
    11,648.65/17,462.50 = 4,247.95/x
  3. Step 3: Cross multiply
    11,648.65x = 17,462.50 × 4,247.95
  4. Step 4: Simplify right side
    11,648.65x = 74,179,826.88
  5. Step 5: Solve for x
    x = 74,179,826.88/11,648.65
  6. Step 6: Final answer
    x = 6,368.11

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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.