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Finding the Fourth Proportional to 10,568.76, 14,578.44 and 6,790.68

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Solution

The fourth proportional to 10,568.76, 14,578.44 and 6,790.68 is: 9,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.76 : 14,578.44 = 6,790.68 : x
  2. Step 2: Convert to fraction form
    10,568.76/14,578.44 = 6,790.68/x
  3. Step 3: Cross multiply
    10,568.76x = 14,578.44 × 6,790.68
  4. Step 4: Simplify right side
    10,568.76x = 98,997,520.94
  5. Step 5: Solve for x
    x = 98,997,520.94/10,568.76
  6. Step 6: Final answer
    x = 9,366.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.