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Finding the Fourth Proportional to 10,375.06, 14,317.59 and 5,659.34

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Solution

The fourth proportional to 10,375.06, 14,317.59 and 5,659.34 is: 7,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.06 : 14,317.59 = 5,659.34 : x
  2. Step 2: Convert to fraction form
    10,375.06/14,317.59 = 5,659.34/x
  3. Step 3: Cross multiply
    10,375.06x = 14,317.59 × 5,659.34
  4. Step 4: Simplify right side
    10,375.06x = 81,028,109.79
  5. Step 5: Solve for x
    x = 81,028,109.79/10,375.06
  6. Step 6: Final answer
    x = 7,809.89

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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.