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Finding the Fourth Proportional to 15,808, 23,712.04 and 4,864

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Solution

The fourth proportional to 15,808, 23,712.04 and 4,864 is: 7,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808 : 23,712.04 = 4,864 : x
  2. Step 2: Convert to fraction form
    15,808/23,712.04 = 4,864/x
  3. Step 3: Cross multiply
    15,808x = 23,712.04 × 4,864
  4. Step 4: Simplify right side
    15,808x = 115,335,362.56
  5. Step 5: Solve for x
    x = 115,335,362.56/15,808
  6. Step 6: Final answer
    x = 7,296.01

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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.