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Finding the Fourth Proportional to 7,694.66, 11,563.64 and 4,575.23

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Solution

The fourth proportional to 7,694.66, 11,563.64 and 4,575.23 is: 6,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.66 : 11,563.64 = 4,575.23 : x
  2. Step 2: Convert to fraction form
    7,694.66/11,563.64 = 4,575.23/x
  3. Step 3: Cross multiply
    7,694.66x = 11,563.64 × 4,575.23
  4. Step 4: Simplify right side
    7,694.66x = 52,906,289.76
  5. Step 5: Solve for x
    x = 52,906,289.76/7,694.66
  6. Step 6: Final answer
    x = 6,875.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.