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Finding the Fourth Proportional to 11,712.30, 17,574.03 and 5,873.01

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Solution

The fourth proportional to 11,712.30, 17,574.03 and 5,873.01 is: 8,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.30 : 17,574.03 = 5,873.01 : x
  2. Step 2: Convert to fraction form
    11,712.30/17,574.03 = 5,873.01/x
  3. Step 3: Cross multiply
    11,712.30x = 17,574.03 × 5,873.01
  4. Step 4: Simplify right side
    11,712.30x = 103,212,453.93
  5. Step 5: Solve for x
    x = 103,212,453.93/11,712.30
  6. Step 6: Final answer
    x = 8,812.31

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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.