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Finding the Fourth Proportional to 7,475.29, 10,314.03 and 4,819.50

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Solution

The fourth proportional to 7,475.29, 10,314.03 and 4,819.50 is: 6,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.29 : 10,314.03 = 4,819.50 : x
  2. Step 2: Convert to fraction form
    7,475.29/10,314.03 = 4,819.50/x
  3. Step 3: Cross multiply
    7,475.29x = 10,314.03 × 4,819.50
  4. Step 4: Simplify right side
    7,475.29x = 49,708,485.66
  5. Step 5: Solve for x
    x = 49,708,485.66/7,475.29
  6. Step 6: Final answer
    x = 6,649.71

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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.