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Finding the Fourth Proportional to 7,675.10, 11,468.97 and 5,762.96

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Solution

The fourth proportional to 7,675.10, 11,468.97 and 5,762.96 is: 8,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.10 : 11,468.97 = 5,762.96 : x
  2. Step 2: Convert to fraction form
    7,675.10/11,468.97 = 5,762.96/x
  3. Step 3: Cross multiply
    7,675.10x = 11,468.97 × 5,762.96
  4. Step 4: Simplify right side
    7,675.10x = 66,095,201.01
  5. Step 5: Solve for x
    x = 66,095,201.01/7,675.10
  6. Step 6: Final answer
    x = 8,611.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.