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Finding the Fourth Proportional to 11,805.92, 16,283.08 and 7,332.32

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Solution

The fourth proportional to 11,805.92, 16,283.08 and 7,332.32 is: 10,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.92 : 16,283.08 = 7,332.32 : x
  2. Step 2: Convert to fraction form
    11,805.92/16,283.08 = 7,332.32/x
  3. Step 3: Cross multiply
    11,805.92x = 16,283.08 × 7,332.32
  4. Step 4: Simplify right side
    11,805.92x = 119,392,753.15
  5. Step 5: Solve for x
    x = 119,392,753.15/11,805.92
  6. Step 6: Final answer
    x = 10,112.96

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1.5x scale

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.