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Finding the Fourth Proportional to 10,008.56, 13,812.84 and 7,215.68

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Solution

The fourth proportional to 10,008.56, 13,812.84 and 7,215.68 is: 9,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.56 : 13,812.84 = 7,215.68 : x
  2. Step 2: Convert to fraction form
    10,008.56/13,812.84 = 7,215.68/x
  3. Step 3: Cross multiply
    10,008.56x = 13,812.84 × 7,215.68
  4. Step 4: Simplify right side
    10,008.56x = 99,669,033.33
  5. Step 5: Solve for x
    x = 99,669,033.33/10,008.56
  6. Step 6: Final answer
    x = 9,958.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.