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Finding the Fourth Proportional to 11,830.59, 16,325.60 and 6,725.43

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Solution

The fourth proportional to 11,830.59, 16,325.60 and 6,725.43 is: 9,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.59 : 16,325.60 = 6,725.43 : x
  2. Step 2: Convert to fraction form
    11,830.59/16,325.60 = 6,725.43/x
  3. Step 3: Cross multiply
    11,830.59x = 16,325.60 × 6,725.43
  4. Step 4: Simplify right side
    11,830.59x = 109,796,646.38
  5. Step 5: Solve for x
    x = 109,796,646.38/11,830.59
  6. Step 6: Final answer
    x = 9,280.74

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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.