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Finding the Fourth Proportional to 7,543.98, 10,406.48 and 4,813.41

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Solution

The fourth proportional to 7,543.98, 10,406.48 and 4,813.41 is: 6,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.98 : 10,406.48 = 4,813.41 : x
  2. Step 2: Convert to fraction form
    7,543.98/10,406.48 = 4,813.41/x
  3. Step 3: Cross multiply
    7,543.98x = 10,406.48 × 4,813.41
  4. Step 4: Simplify right side
    7,543.98x = 50,090,630.83
  5. Step 5: Solve for x
    x = 50,090,630.83/7,543.98
  6. Step 6: Final answer
    x = 6,639.81

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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.