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Finding the Fourth Proportional to 12,285.34, 16,960 and 7,251.10

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Solution

The fourth proportional to 12,285.34, 16,960 and 7,251.10 is: 10,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.34 : 16,960 = 7,251.10 : x
  2. Step 2: Convert to fraction form
    12,285.34/16,960 = 7,251.10/x
  3. Step 3: Cross multiply
    12,285.34x = 16,960 × 7,251.10
  4. Step 4: Simplify right side
    12,285.34x = 122,978,656
  5. Step 5: Solve for x
    x = 122,978,656/12,285.34
  6. Step 6: Final answer
    x = 10,010.20

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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.