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Finding the Fourth Proportional to 6,516.29, 8,989.44 and 4,156.94

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Solution

The fourth proportional to 6,516.29, 8,989.44 and 4,156.94 is: 5,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.29 : 8,989.44 = 4,156.94 : x
  2. Step 2: Convert to fraction form
    6,516.29/8,989.44 = 4,156.94/x
  3. Step 3: Cross multiply
    6,516.29x = 8,989.44 × 4,156.94
  4. Step 4: Simplify right side
    6,516.29x = 37,368,562.71
  5. Step 5: Solve for x
    x = 37,368,562.71/6,516.29
  6. Step 6: Final answer
    x = 5,734.64

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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.