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Finding the Fourth Proportional to 10,676.43, 14,719.14 and 7,485.42

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Solution

The fourth proportional to 10,676.43, 14,719.14 and 7,485.42 is: 10,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.43 : 14,719.14 = 7,485.42 : x
  2. Step 2: Convert to fraction form
    10,676.43/14,719.14 = 7,485.42/x
  3. Step 3: Cross multiply
    10,676.43x = 14,719.14 × 7,485.42
  4. Step 4: Simplify right side
    10,676.43x = 110,178,944.94
  5. Step 5: Solve for x
    x = 110,178,944.94/10,676.43
  6. Step 6: Final answer
    x = 10,319.83

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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.