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Finding the Fourth Proportional to 7,846.89, 11,770.40 and 2,916.53

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Solution

The fourth proportional to 7,846.89, 11,770.40 and 2,916.53 is: 4,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.89 : 11,770.40 = 2,916.53 : x
  2. Step 2: Convert to fraction form
    7,846.89/11,770.40 = 2,916.53/x
  3. Step 3: Cross multiply
    7,846.89x = 11,770.40 × 2,916.53
  4. Step 4: Simplify right side
    7,846.89x = 34,328,665.86
  5. Step 5: Solve for x
    x = 34,328,665.86/7,846.89
  6. Step 6: Final answer
    x = 4,374.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.