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Finding the Fourth Proportional to 6,516.59, 9,790.40 and 4,181.16

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Solution

The fourth proportional to 6,516.59, 9,790.40 and 4,181.16 is: 6,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.59 : 9,790.40 = 4,181.16 : x
  2. Step 2: Convert to fraction form
    6,516.59/9,790.40 = 4,181.16/x
  3. Step 3: Cross multiply
    6,516.59x = 9,790.40 × 4,181.16
  4. Step 4: Simplify right side
    6,516.59x = 40,935,228.86
  5. Step 5: Solve for x
    x = 40,935,228.86/6,516.59
  6. Step 6: Final answer
    x = 6,281.69

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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.