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Finding the Fourth Proportional to 12,356.41, 17,053.07 and 7,052.02

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Solution

The fourth proportional to 12,356.41, 17,053.07 and 7,052.02 is: 9,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.41 : 17,053.07 = 7,052.02 : x
  2. Step 2: Convert to fraction form
    12,356.41/17,053.07 = 7,052.02/x
  3. Step 3: Cross multiply
    12,356.41x = 17,053.07 × 7,052.02
  4. Step 4: Simplify right side
    12,356.41x = 120,258,590.70
  5. Step 5: Solve for x
    x = 120,258,590.70/12,356.41
  6. Step 6: Final answer
    x = 9,732.49

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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.