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Finding the Fourth Proportional to 11,664.84, 16,107.54 and 10,002.72

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Solution

The fourth proportional to 11,664.84, 16,107.54 and 10,002.72 is: 13,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.84 : 16,107.54 = 10,002.72 : x
  2. Step 2: Convert to fraction form
    11,664.84/16,107.54 = 10,002.72/x
  3. Step 3: Cross multiply
    11,664.84x = 16,107.54 × 10,002.72
  4. Step 4: Simplify right side
    11,664.84x = 161,119,212.51
  5. Step 5: Solve for x
    x = 161,119,212.51/11,664.84
  6. Step 6: Final answer
    x = 13,812.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.