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Finding the Fourth Proportional to 10,714.94, 14,787.45 and 6,179.08

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Solution

The fourth proportional to 10,714.94, 14,787.45 and 6,179.08 is: 8,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.94 : 14,787.45 = 6,179.08 : x
  2. Step 2: Convert to fraction form
    10,714.94/14,787.45 = 6,179.08/x
  3. Step 3: Cross multiply
    10,714.94x = 14,787.45 × 6,179.08
  4. Step 4: Simplify right side
    10,714.94x = 91,372,878.51
  5. Step 5: Solve for x
    x = 91,372,878.51/10,714.94
  6. Step 6: Final answer
    x = 8,527.61

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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.