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Finding the Fourth Proportional to 11,706.60, 16,155.42 and 6,993.60

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Solution

The fourth proportional to 11,706.60, 16,155.42 and 6,993.60 is: 9,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.60 : 16,155.42 = 6,993.60 : x
  2. Step 2: Convert to fraction form
    11,706.60/16,155.42 = 6,993.60/x
  3. Step 3: Cross multiply
    11,706.60x = 16,155.42 × 6,993.60
  4. Step 4: Simplify right side
    11,706.60x = 112,984,545.31
  5. Step 5: Solve for x
    x = 112,984,545.31/11,706.60
  6. Step 6: Final answer
    x = 9,651.35

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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.