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Finding the Fourth Proportional to 11,561.25, 15,954.56 and 6,256.06

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Solution

The fourth proportional to 11,561.25, 15,954.56 and 6,256.06 is: 8,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.25 : 15,954.56 = 6,256.06 : x
  2. Step 2: Convert to fraction form
    11,561.25/15,954.56 = 6,256.06/x
  3. Step 3: Cross multiply
    11,561.25x = 15,954.56 × 6,256.06
  4. Step 4: Simplify right side
    11,561.25x = 99,812,763.07
  5. Step 5: Solve for x
    x = 99,812,763.07/11,561.25
  6. Step 6: Final answer
    x = 8,633.39

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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.