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Finding the Fourth Proportional to 11,298, 16,957.80 and 4,722.44

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Solution

The fourth proportional to 11,298, 16,957.80 and 4,722.44 is: 7,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 16,957.80 = 4,722.44 : x
  2. Step 2: Convert to fraction form
    11,298/16,957.80 = 4,722.44/x
  3. Step 3: Cross multiply
    11,298x = 16,957.80 × 4,722.44
  4. Step 4: Simplify right side
    11,298x = 80,082,193.03
  5. Step 5: Solve for x
    x = 80,082,193.03/11,298
  6. Step 6: Final answer
    x = 7,088.17

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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.