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Finding the Fourth Proportional to 11,712.34, 17,568.07 and 2,947.14

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Solution

The fourth proportional to 11,712.34, 17,568.07 and 2,947.14 is: 4,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.34 : 17,568.07 = 2,947.14 : x
  2. Step 2: Convert to fraction form
    11,712.34/17,568.07 = 2,947.14/x
  3. Step 3: Cross multiply
    11,712.34x = 17,568.07 × 2,947.14
  4. Step 4: Simplify right side
    11,712.34x = 51,775,561.82
  5. Step 5: Solve for x
    x = 51,775,561.82/11,712.34
  6. Step 6: Final answer
    x = 4,420.60

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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.