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Finding the Fourth Proportional to 11,872.94, 17,802.83 and 4,857.88

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Solution

The fourth proportional to 11,872.94, 17,802.83 and 4,857.88 is: 7,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.94 : 17,802.83 = 4,857.88 : x
  2. Step 2: Convert to fraction form
    11,872.94/17,802.83 = 4,857.88/x
  3. Step 3: Cross multiply
    11,872.94x = 17,802.83 × 4,857.88
  4. Step 4: Simplify right side
    11,872.94x = 86,483,898.50
  5. Step 5: Solve for x
    x = 86,483,898.50/11,872.94
  6. Step 6: Final answer
    x = 7,284.12

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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.