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Finding the Fourth Proportional to 10,674.90, 16,005.14 and 5,130.90

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Solution

The fourth proportional to 10,674.90, 16,005.14 and 5,130.90 is: 7,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.90 : 16,005.14 = 5,130.90 : x
  2. Step 2: Convert to fraction form
    10,674.90/16,005.14 = 5,130.90/x
  3. Step 3: Cross multiply
    10,674.90x = 16,005.14 × 5,130.90
  4. Step 4: Simplify right side
    10,674.90x = 82,120,772.83
  5. Step 5: Solve for x
    x = 82,120,772.83/10,674.90
  6. Step 6: Final answer
    x = 7,692.88

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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.