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Finding the Fourth Proportional to 12,753.72, 17,599.68 and 7,452

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Solution

The fourth proportional to 12,753.72, 17,599.68 and 7,452 is: 10,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.72 : 17,599.68 = 7,452 : x
  2. Step 2: Convert to fraction form
    12,753.72/17,599.68 = 7,452/x
  3. Step 3: Cross multiply
    12,753.72x = 17,599.68 × 7,452
  4. Step 4: Simplify right side
    12,753.72x = 131,152,815.36
  5. Step 5: Solve for x
    x = 131,152,815.36/12,753.72
  6. Step 6: Final answer
    x = 10,283.49

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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.