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Finding the Fourth Proportional to 8,744.64, 13,099.95 and 7,762.92

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Solution

The fourth proportional to 8,744.64, 13,099.95 and 7,762.92 is: 11,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.64 : 13,099.95 = 7,762.92 : x
  2. Step 2: Convert to fraction form
    8,744.64/13,099.95 = 7,762.92/x
  3. Step 3: Cross multiply
    8,744.64x = 13,099.95 × 7,762.92
  4. Step 4: Simplify right side
    8,744.64x = 101,693,863.85
  5. Step 5: Solve for x
    x = 101,693,863.85/8,744.64
  6. Step 6: Final answer
    x = 11,629.28

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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.