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Finding the Fourth Proportional to 10,565.44, 14,579.06 and 6,090.66

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Solution

The fourth proportional to 10,565.44, 14,579.06 and 6,090.66 is: 8,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.44 : 14,579.06 = 6,090.66 : x
  2. Step 2: Convert to fraction form
    10,565.44/14,579.06 = 6,090.66/x
  3. Step 3: Cross multiply
    10,565.44x = 14,579.06 × 6,090.66
  4. Step 4: Simplify right side
    10,565.44x = 88,796,067.13
  5. Step 5: Solve for x
    x = 88,796,067.13/10,565.44
  6. Step 6: Final answer
    x = 8,404.39

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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.