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Finding the Fourth Proportional to 10,275.66, 14,179.73 and 5,799.60

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Solution

The fourth proportional to 10,275.66, 14,179.73 and 5,799.60 is: 8,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.66 : 14,179.73 = 5,799.60 : x
  2. Step 2: Convert to fraction form
    10,275.66/14,179.73 = 5,799.60/x
  3. Step 3: Cross multiply
    10,275.66x = 14,179.73 × 5,799.60
  4. Step 4: Simplify right side
    10,275.66x = 82,236,733.11
  5. Step 5: Solve for x
    x = 82,236,733.11/10,275.66
  6. Step 6: Final answer
    x = 8,003.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.