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Finding the Fourth Proportional to 7,340.40, 10,099.50 and 6,454.68

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Solution

The fourth proportional to 7,340.40, 10,099.50 and 6,454.68 is: 8,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.40 : 10,099.50 = 6,454.68 : x
  2. Step 2: Convert to fraction form
    7,340.40/10,099.50 = 6,454.68/x
  3. Step 3: Cross multiply
    7,340.40x = 10,099.50 × 6,454.68
  4. Step 4: Simplify right side
    7,340.40x = 65,189,040.66
  5. Step 5: Solve for x
    x = 65,189,040.66/7,340.40
  6. Step 6: Final answer
    x = 8,880.86

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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.