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Finding the Fourth Proportional to 11,682.56, 16,125 and 7,210.16

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Solution

The fourth proportional to 11,682.56, 16,125 and 7,210.16 is: 9,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.56 : 16,125 = 7,210.16 : x
  2. Step 2: Convert to fraction form
    11,682.56/16,125 = 7,210.16/x
  3. Step 3: Cross multiply
    11,682.56x = 16,125 × 7,210.16
  4. Step 4: Simplify right side
    11,682.56x = 116,263,830
  5. Step 5: Solve for x
    x = 116,263,830/11,682.56
  6. Step 6: Final answer
    x = 9,951.91

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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.