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Finding the Fourth Proportional to 7,872.39, 10,865.10 and 5,980.89

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Solution

The fourth proportional to 7,872.39, 10,865.10 and 5,980.89 is: 8,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.39 : 10,865.10 = 5,980.89 : x
  2. Step 2: Convert to fraction form
    7,872.39/10,865.10 = 5,980.89/x
  3. Step 3: Cross multiply
    7,872.39x = 10,865.10 × 5,980.89
  4. Step 4: Simplify right side
    7,872.39x = 64,982,967.94
  5. Step 5: Solve for x
    x = 64,982,967.94/7,872.39
  6. Step 6: Final answer
    x = 8,254.54

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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.