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Finding the Fourth Proportional to 7,996.64, 11,035.38 and 4,460.08

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Solution

The fourth proportional to 7,996.64, 11,035.38 and 4,460.08 is: 6,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.64 : 11,035.38 = 4,460.08 : x
  2. Step 2: Convert to fraction form
    7,996.64/11,035.38 = 4,460.08/x
  3. Step 3: Cross multiply
    7,996.64x = 11,035.38 × 4,460.08
  4. Step 4: Simplify right side
    7,996.64x = 49,218,609.91
  5. Step 5: Solve for x
    x = 49,218,609.91/7,996.64
  6. Step 6: Final answer
    x = 6,154.91

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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.