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Finding the Fourth Proportional to 10,666.35, 15,980.31 and 6,281.42

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Solution

The fourth proportional to 10,666.35, 15,980.31 and 6,281.42 is: 9,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.35 : 15,980.31 = 6,281.42 : x
  2. Step 2: Convert to fraction form
    10,666.35/15,980.31 = 6,281.42/x
  3. Step 3: Cross multiply
    10,666.35x = 15,980.31 × 6,281.42
  4. Step 4: Simplify right side
    10,666.35x = 100,378,958.94
  5. Step 5: Solve for x
    x = 100,378,958.94/10,666.35
  6. Step 6: Final answer
    x = 9,410.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.