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Finding the Fourth Proportional to 11,140.95, 16,706.21 and 6,462.30

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Solution

The fourth proportional to 11,140.95, 16,706.21 and 6,462.30 is: 9,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.95 : 16,706.21 = 6,462.30 : x
  2. Step 2: Convert to fraction form
    11,140.95/16,706.21 = 6,462.30/x
  3. Step 3: Cross multiply
    11,140.95x = 16,706.21 × 6,462.30
  4. Step 4: Simplify right side
    11,140.95x = 107,960,508.57
  5. Step 5: Solve for x
    x = 107,960,508.57/11,140.95
  6. Step 6: Final answer
    x = 9,690.42

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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.