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Finding the Fourth Proportional to 7,873.60, 10,864.56 and 4,516.96

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Solution

The fourth proportional to 7,873.60, 10,864.56 and 4,516.96 is: 6,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.60 : 10,864.56 = 4,516.96 : x
  2. Step 2: Convert to fraction form
    7,873.60/10,864.56 = 4,516.96/x
  3. Step 3: Cross multiply
    7,873.60x = 10,864.56 × 4,516.96
  4. Step 4: Simplify right side
    7,873.60x = 49,074,782.94
  5. Step 5: Solve for x
    x = 49,074,782.94/7,873.60
  6. Step 6: Final answer
    x = 6,232.83

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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.