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Finding the Fourth Proportional to 10,446.59, 15,659.90 and 3,871.01

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Solution

The fourth proportional to 10,446.59, 15,659.90 and 3,871.01 is: 5,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.59 : 15,659.90 = 3,871.01 : x
  2. Step 2: Convert to fraction form
    10,446.59/15,659.90 = 3,871.01/x
  3. Step 3: Cross multiply
    10,446.59x = 15,659.90 × 3,871.01
  4. Step 4: Simplify right side
    10,446.59x = 60,619,610.14
  5. Step 5: Solve for x
    x = 60,619,610.14/10,446.59
  6. Step 6: Final answer
    x = 5,802.81

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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.