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Finding the Fourth Proportional to 10,375.20, 14,317.74 and 5,659.44

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Solution

The fourth proportional to 10,375.20, 14,317.74 and 5,659.44 is: 7,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.20 : 14,317.74 = 5,659.44 : x
  2. Step 2: Convert to fraction form
    10,375.20/14,317.74 = 5,659.44/x
  3. Step 3: Cross multiply
    10,375.20x = 14,317.74 × 5,659.44
  4. Step 4: Simplify right side
    10,375.20x = 81,030,390.47
  5. Step 5: Solve for x
    x = 81,030,390.47/10,375.20
  6. Step 6: Final answer
    x = 7,810.01

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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.