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Finding the Fourth Proportional to 11,832.88, 16,332.23 and 7,116.25

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Solution

The fourth proportional to 11,832.88, 16,332.23 and 7,116.25 is: 9,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.88 : 16,332.23 = 7,116.25 : x
  2. Step 2: Convert to fraction form
    11,832.88/16,332.23 = 7,116.25/x
  3. Step 3: Cross multiply
    11,832.88x = 16,332.23 × 7,116.25
  4. Step 4: Simplify right side
    11,832.88x = 116,224,231.74
  5. Step 5: Solve for x
    x = 116,224,231.74/11,832.88
  6. Step 6: Final answer
    x = 9,822.14

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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.