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Finding the Fourth Proportional to 11,787.68, 16,260.24 and 7,364

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Solution

The fourth proportional to 11,787.68, 16,260.24 and 7,364 is: 10,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.68 : 16,260.24 = 7,364 : x
  2. Step 2: Convert to fraction form
    11,787.68/16,260.24 = 7,364/x
  3. Step 3: Cross multiply
    11,787.68x = 16,260.24 × 7,364
  4. Step 4: Simplify right side
    11,787.68x = 119,740,407.36
  5. Step 5: Solve for x
    x = 119,740,407.36/11,787.68
  6. Step 6: Final answer
    x = 10,158.10

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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.