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Finding the Fourth Proportional to 11,712.13, 17,568.16 and 4,786.63

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Solution

The fourth proportional to 11,712.13, 17,568.16 and 4,786.63 is: 7,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.13 : 17,568.16 = 4,786.63 : x
  2. Step 2: Convert to fraction form
    11,712.13/17,568.16 = 4,786.63/x
  3. Step 3: Cross multiply
    11,712.13x = 17,568.16 × 4,786.63
  4. Step 4: Simplify right side
    11,712.13x = 84,092,225.81
  5. Step 5: Solve for x
    x = 84,092,225.81/11,712.13
  6. Step 6: Final answer
    x = 7,179.93

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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.