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Finding the Fourth Proportional to 11,569.84, 17,352.02 and 4,992.44

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Solution

The fourth proportional to 11,569.84, 17,352.02 and 4,992.44 is: 7,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.84 : 17,352.02 = 4,992.44 : x
  2. Step 2: Convert to fraction form
    11,569.84/17,352.02 = 4,992.44/x
  3. Step 3: Cross multiply
    11,569.84x = 17,352.02 × 4,992.44
  4. Step 4: Simplify right side
    11,569.84x = 86,628,844.45
  5. Step 5: Solve for x
    x = 86,628,844.45/11,569.84
  6. Step 6: Final answer
    x = 7,487.47

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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.