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Finding the Fourth Proportional to 7,916.49, 11,870.90 and 3,234.64

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Solution

The fourth proportional to 7,916.49, 11,870.90 and 3,234.64 is: 4,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.49 : 11,870.90 = 3,234.64 : x
  2. Step 2: Convert to fraction form
    7,916.49/11,870.90 = 3,234.64/x
  3. Step 3: Cross multiply
    7,916.49x = 11,870.90 × 3,234.64
  4. Step 4: Simplify right side
    7,916.49x = 38,398,076.51
  5. Step 5: Solve for x
    x = 38,398,076.51/7,916.49
  6. Step 6: Final answer
    x = 4,850.39

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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.