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Finding the Fourth Proportional to 11,458.16, 17,184.50 and 8,374.49

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Solution

The fourth proportional to 11,458.16, 17,184.50 and 8,374.49 is: 12,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.16 : 17,184.50 = 8,374.49 : x
  2. Step 2: Convert to fraction form
    11,458.16/17,184.50 = 8,374.49/x
  3. Step 3: Cross multiply
    11,458.16x = 17,184.50 × 8,374.49
  4. Step 4: Simplify right side
    11,458.16x = 143,911,295.61
  5. Step 5: Solve for x
    x = 143,911,295.61/11,458.16
  6. Step 6: Final answer
    x = 12,559.73

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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.