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Finding the Fourth Proportional to 12,130.52, 16,740.05 and 6,825.38

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Solution

The fourth proportional to 12,130.52, 16,740.05 and 6,825.38 is: 9,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.52 : 16,740.05 = 6,825.38 : x
  2. Step 2: Convert to fraction form
    12,130.52/16,740.05 = 6,825.38/x
  3. Step 3: Cross multiply
    12,130.52x = 16,740.05 × 6,825.38
  4. Step 4: Simplify right side
    12,130.52x = 114,257,202.47
  5. Step 5: Solve for x
    x = 114,257,202.47/12,130.52
  6. Step 6: Final answer
    x = 9,418.99

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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.