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Finding the Fourth Proportional to 11,642.45, 17,464.01 and 4,252.41

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Solution

The fourth proportional to 11,642.45, 17,464.01 and 4,252.41 is: 6,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.45 : 17,464.01 = 4,252.41 : x
  2. Step 2: Convert to fraction form
    11,642.45/17,464.01 = 4,252.41/x
  3. Step 3: Cross multiply
    11,642.45x = 17,464.01 × 4,252.41
  4. Step 4: Simplify right side
    11,642.45x = 74,264,109.50
  5. Step 5: Solve for x
    x = 74,264,109.50/11,642.45
  6. Step 6: Final answer
    x = 6,378.74

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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.