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Finding the Fourth Proportional to 11,851.04, 16,356 and 6,883.04

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Solution

The fourth proportional to 11,851.04, 16,356 and 6,883.04 is: 9,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.04 : 16,356 = 6,883.04 : x
  2. Step 2: Convert to fraction form
    11,851.04/16,356 = 6,883.04/x
  3. Step 3: Cross multiply
    11,851.04x = 16,356 × 6,883.04
  4. Step 4: Simplify right side
    11,851.04x = 112,579,002.24
  5. Step 5: Solve for x
    x = 112,579,002.24/11,851.04
  6. Step 6: Final answer
    x = 9,499.50

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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.