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Finding the Fourth Proportional to 7,688.75, 11,533.76 and 5,634.32

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Solution

The fourth proportional to 7,688.75, 11,533.76 and 5,634.32 is: 8,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.75 : 11,533.76 = 5,634.32 : x
  2. Step 2: Convert to fraction form
    7,688.75/11,533.76 = 5,634.32/x
  3. Step 3: Cross multiply
    7,688.75x = 11,533.76 × 5,634.32
  4. Step 4: Simplify right side
    7,688.75x = 64,984,808.80
  5. Step 5: Solve for x
    x = 64,984,808.80/7,688.75
  6. Step 6: Final answer
    x = 8,451.94

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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.