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Finding the Fourth Proportional to 7,489.45, 10,340.63 and 4,657.96

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Solution

The fourth proportional to 7,489.45, 10,340.63 and 4,657.96 is: 6,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.45 : 10,340.63 = 4,657.96 : x
  2. Step 2: Convert to fraction form
    7,489.45/10,340.63 = 4,657.96/x
  3. Step 3: Cross multiply
    7,489.45x = 10,340.63 × 4,657.96
  4. Step 4: Simplify right side
    7,489.45x = 48,166,240.91
  5. Step 5: Solve for x
    x = 48,166,240.91/7,489.45
  6. Step 6: Final answer
    x = 6,431.21

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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.