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Finding the Fourth Proportional to 8,797.28, 13,184.42 and 6,709.64

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Solution

The fourth proportional to 8,797.28, 13,184.42 and 6,709.64 is: 10,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.28 : 13,184.42 = 6,709.64 : x
  2. Step 2: Convert to fraction form
    8,797.28/13,184.42 = 6,709.64/x
  3. Step 3: Cross multiply
    8,797.28x = 13,184.42 × 6,709.64
  4. Step 4: Simplify right side
    8,797.28x = 88,462,711.81
  5. Step 5: Solve for x
    x = 88,462,711.81/8,797.28
  6. Step 6: Final answer
    x = 10,055.69

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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.