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Finding the Fourth Proportional to 11,457.82, 15,799.80 and 8,479.90

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Solution

The fourth proportional to 11,457.82, 15,799.80 and 8,479.90 is: 11,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.82 : 15,799.80 = 8,479.90 : x
  2. Step 2: Convert to fraction form
    11,457.82/15,799.80 = 8,479.90/x
  3. Step 3: Cross multiply
    11,457.82x = 15,799.80 × 8,479.90
  4. Step 4: Simplify right side
    11,457.82x = 133,980,724.02
  5. Step 5: Solve for x
    x = 133,980,724.02/11,457.82
  6. Step 6: Final answer
    x = 11,693.39

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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.