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Finding the Fourth Proportional to 10,145.97, 14,010.35 and 6,375.67

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Solution

The fourth proportional to 10,145.97, 14,010.35 and 6,375.67 is: 8,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.97 : 14,010.35 = 6,375.67 : x
  2. Step 2: Convert to fraction form
    10,145.97/14,010.35 = 6,375.67/x
  3. Step 3: Cross multiply
    10,145.97x = 14,010.35 × 6,375.67
  4. Step 4: Simplify right side
    10,145.97x = 89,325,301.28
  5. Step 5: Solve for x
    x = 89,325,301.28/10,145.97
  6. Step 6: Final answer
    x = 8,804.02

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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.