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Finding the Fourth Proportional to 10,375.05, 14,317.40 and 5,659.32

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Solution

The fourth proportional to 10,375.05, 14,317.40 and 5,659.32 is: 7,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.05 : 14,317.40 = 5,659.32 : x
  2. Step 2: Convert to fraction form
    10,375.05/14,317.40 = 5,659.32/x
  3. Step 3: Cross multiply
    10,375.05x = 14,317.40 × 5,659.32
  4. Step 4: Simplify right side
    10,375.05x = 81,026,719.87
  5. Step 5: Solve for x
    x = 81,026,719.87/10,375.05
  6. Step 6: Final answer
    x = 7,809.77

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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.