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Finding the Fourth Proportional to 10,662.42, 14,714.10 and 5,947.59

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Solution

The fourth proportional to 10,662.42, 14,714.10 and 5,947.59 is: 8,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.42 : 14,714.10 = 5,947.59 : x
  2. Step 2: Convert to fraction form
    10,662.42/14,714.10 = 5,947.59/x
  3. Step 3: Cross multiply
    10,662.42x = 14,714.10 × 5,947.59
  4. Step 4: Simplify right side
    10,662.42x = 87,513,434.02
  5. Step 5: Solve for x
    x = 87,513,434.02/10,662.42
  6. Step 6: Final answer
    x = 8,207.65

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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.