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Finding the Fourth Proportional to 11,795.64, 16,278 and 6,490.78

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Solution

The fourth proportional to 11,795.64, 16,278 and 6,490.78 is: 8,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.64 : 16,278 = 6,490.78 : x
  2. Step 2: Convert to fraction form
    11,795.64/16,278 = 6,490.78/x
  3. Step 3: Cross multiply
    11,795.64x = 16,278 × 6,490.78
  4. Step 4: Simplify right side
    11,795.64x = 105,656,916.84
  5. Step 5: Solve for x
    x = 105,656,916.84/11,795.64
  6. Step 6: Final answer
    x = 8,957.29

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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.