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Finding the Fourth Proportional to 11,568.42, 17,336 and 6,574.76

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Solution

The fourth proportional to 11,568.42, 17,336 and 6,574.76 is: 9,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.42 : 17,336 = 6,574.76 : x
  2. Step 2: Convert to fraction form
    11,568.42/17,336 = 6,574.76/x
  3. Step 3: Cross multiply
    11,568.42x = 17,336 × 6,574.76
  4. Step 4: Simplify right side
    11,568.42x = 113,980,039.36
  5. Step 5: Solve for x
    x = 113,980,039.36/11,568.42
  6. Step 6: Final answer
    x = 9,852.69

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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.