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Finding the Fourth Proportional to 11,577.16, 17,347.49 and 8,951.07

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Solution

The fourth proportional to 11,577.16, 17,347.49 and 8,951.07 is: 13,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.16 : 17,347.49 = 8,951.07 : x
  2. Step 2: Convert to fraction form
    11,577.16/17,347.49 = 8,951.07/x
  3. Step 3: Cross multiply
    11,577.16x = 17,347.49 × 8,951.07
  4. Step 4: Simplify right side
    11,577.16x = 155,278,597.31
  5. Step 5: Solve for x
    x = 155,278,597.31/11,577.16
  6. Step 6: Final answer
    x = 13,412.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.