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Finding the Fourth Proportional to 10,662.84, 14,714.70 and 5,947.08

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Solution

The fourth proportional to 10,662.84, 14,714.70 and 5,947.08 is: 8,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.84 : 14,714.70 = 5,947.08 : x
  2. Step 2: Convert to fraction form
    10,662.84/14,714.70 = 5,947.08/x
  3. Step 3: Cross multiply
    10,662.84x = 14,714.70 × 5,947.08
  4. Step 4: Simplify right side
    10,662.84x = 87,509,498.08
  5. Step 5: Solve for x
    x = 87,509,498.08/10,662.84
  6. Step 6: Final answer
    x = 8,206.96

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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.