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Finding the Fourth Proportional to 10,241.40, 14,133 and 5,704.08

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Solution

The fourth proportional to 10,241.40, 14,133 and 5,704.08 is: 7,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.40 : 14,133 = 5,704.08 : x
  2. Step 2: Convert to fraction form
    10,241.40/14,133 = 5,704.08/x
  3. Step 3: Cross multiply
    10,241.40x = 14,133 × 5,704.08
  4. Step 4: Simplify right side
    10,241.40x = 80,615,762.64
  5. Step 5: Solve for x
    x = 80,615,762.64/10,241.40
  6. Step 6: Final answer
    x = 7,871.56

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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.