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Finding the Fourth Proportional to 11,203.84, 16,809.54 and 4,963

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Solution

The fourth proportional to 11,203.84, 16,809.54 and 4,963 is: 7,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.84 : 16,809.54 = 4,963 : x
  2. Step 2: Convert to fraction form
    11,203.84/16,809.54 = 4,963/x
  3. Step 3: Cross multiply
    11,203.84x = 16,809.54 × 4,963
  4. Step 4: Simplify right side
    11,203.84x = 83,425,747.02
  5. Step 5: Solve for x
    x = 83,425,747.02/11,203.84
  6. Step 6: Final answer
    x = 7,446.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.