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Finding the Fourth Proportional to 11,972.76, 17,925 and 9,511.08

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Solution

The fourth proportional to 11,972.76, 17,925 and 9,511.08 is: 14,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.76 : 17,925 = 9,511.08 : x
  2. Step 2: Convert to fraction form
    11,972.76/17,925 = 9,511.08/x
  3. Step 3: Cross multiply
    11,972.76x = 17,925 × 9,511.08
  4. Step 4: Simplify right side
    11,972.76x = 170,486,109
  5. Step 5: Solve for x
    x = 170,486,109/11,972.76
  6. Step 6: Final answer
    x = 14,239.50

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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.