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Finding the Fourth Proportional to 8,812.96, 13,232.10 and 7,730.44

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Solution

The fourth proportional to 8,812.96, 13,232.10 and 7,730.44 is: 11,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.96 : 13,232.10 = 7,730.44 : x
  2. Step 2: Convert to fraction form
    8,812.96/13,232.10 = 7,730.44/x
  3. Step 3: Cross multiply
    8,812.96x = 13,232.10 × 7,730.44
  4. Step 4: Simplify right side
    8,812.96x = 102,289,955.12
  5. Step 5: Solve for x
    x = 102,289,955.12/8,812.96
  6. Step 6: Final answer
    x = 11,606.76

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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.