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Finding the Fourth Proportional to 10,052.60, 13,872.06 and 5,576

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Solution

The fourth proportional to 10,052.60, 13,872.06 and 5,576 is: 7,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.60 : 13,872.06 = 5,576 : x
  2. Step 2: Convert to fraction form
    10,052.60/13,872.06 = 5,576/x
  3. Step 3: Cross multiply
    10,052.60x = 13,872.06 × 5,576
  4. Step 4: Simplify right side
    10,052.60x = 77,350,606.56
  5. Step 5: Solve for x
    x = 77,350,606.56/10,052.60
  6. Step 6: Final answer
    x = 7,694.59

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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.