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Finding the Fourth Proportional to 10,749.63, 14,845.74 and 7,401.09

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Solution

The fourth proportional to 10,749.63, 14,845.74 and 7,401.09 is: 10,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.63 : 14,845.74 = 7,401.09 : x
  2. Step 2: Convert to fraction form
    10,749.63/14,845.74 = 7,401.09/x
  3. Step 3: Cross multiply
    10,749.63x = 14,845.74 × 7,401.09
  4. Step 4: Simplify right side
    10,749.63x = 109,874,657.86
  5. Step 5: Solve for x
    x = 109,874,657.86/10,749.63
  6. Step 6: Final answer
    x = 10,221.25

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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.