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Finding the Fourth Proportional to 10,714.63, 14,787.01 and 6,178.05

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Solution

The fourth proportional to 10,714.63, 14,787.01 and 6,178.05 is: 8,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.63 : 14,787.01 = 6,178.05 : x
  2. Step 2: Convert to fraction form
    10,714.63/14,787.01 = 6,178.05/x
  3. Step 3: Cross multiply
    10,714.63x = 14,787.01 × 6,178.05
  4. Step 4: Simplify right side
    10,714.63x = 91,354,887.13
  5. Step 5: Solve for x
    x = 91,354,887.13/10,714.63
  6. Step 6: Final answer
    x = 8,526.18

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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.