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Finding the Fourth Proportional to 12,357.41, 17,053.02 and 7,052.31

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Solution

The fourth proportional to 12,357.41, 17,053.02 and 7,052.31 is: 9,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.41 : 17,053.02 = 7,052.31 : x
  2. Step 2: Convert to fraction form
    12,357.41/17,053.02 = 7,052.31/x
  3. Step 3: Cross multiply
    12,357.41x = 17,053.02 × 7,052.31
  4. Step 4: Simplify right side
    12,357.41x = 120,263,183.48
  5. Step 5: Solve for x
    x = 120,263,183.48/12,357.41
  6. Step 6: Final answer
    x = 9,732.07

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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.