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Finding the Fourth Proportional to 7,456.25, 10,289.84 and 4,099.28

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Solution

The fourth proportional to 7,456.25, 10,289.84 and 4,099.28 is: 5,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.25 : 10,289.84 = 4,099.28 : x
  2. Step 2: Convert to fraction form
    7,456.25/10,289.84 = 4,099.28/x
  3. Step 3: Cross multiply
    7,456.25x = 10,289.84 × 4,099.28
  4. Step 4: Simplify right side
    7,456.25x = 42,180,863.37
  5. Step 5: Solve for x
    x = 42,180,863.37/7,456.25
  6. Step 6: Final answer
    x = 5,657.11

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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.