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Finding the Fourth Proportional to 10,676.14, 14,727.15 and 7,494.19

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Solution

The fourth proportional to 10,676.14, 14,727.15 and 7,494.19 is: 10,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.14 : 14,727.15 = 7,494.19 : x
  2. Step 2: Convert to fraction form
    10,676.14/14,727.15 = 7,494.19/x
  3. Step 3: Cross multiply
    10,676.14x = 14,727.15 × 7,494.19
  4. Step 4: Simplify right side
    10,676.14x = 110,368,060.26
  5. Step 5: Solve for x
    x = 110,368,060.26/10,676.14
  6. Step 6: Final answer
    x = 10,337.82

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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.