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Finding the Fourth Proportional to 7,632.40, 11,435.16 and 6,684.76

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Solution

The fourth proportional to 7,632.40, 11,435.16 and 6,684.76 is: 10,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.40 : 11,435.16 = 6,684.76 : x
  2. Step 2: Convert to fraction form
    7,632.40/11,435.16 = 6,684.76/x
  3. Step 3: Cross multiply
    7,632.40x = 11,435.16 × 6,684.76
  4. Step 4: Simplify right side
    7,632.40x = 76,441,300.16
  5. Step 5: Solve for x
    x = 76,441,300.16/7,632.40
  6. Step 6: Final answer
    x = 10,015.37

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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.