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Finding the Fourth Proportional to 8,008.12, 11,054.10 and 4,864.24

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Solution

The fourth proportional to 8,008.12, 11,054.10 and 4,864.24 is: 6,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.12 : 11,054.10 = 4,864.24 : x
  2. Step 2: Convert to fraction form
    8,008.12/11,054.10 = 4,864.24/x
  3. Step 3: Cross multiply
    8,008.12x = 11,054.10 × 4,864.24
  4. Step 4: Simplify right side
    8,008.12x = 53,769,795.38
  5. Step 5: Solve for x
    x = 53,769,795.38/8,008.12
  6. Step 6: Final answer
    x = 6,714.41

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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.