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Finding the Fourth Proportional to 11,961.40, 16,506.70 and 6,656.10

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Solution

The fourth proportional to 11,961.40, 16,506.70 and 6,656.10 is: 9,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.40 : 16,506.70 = 6,656.10 : x
  2. Step 2: Convert to fraction form
    11,961.40/16,506.70 = 6,656.10/x
  3. Step 3: Cross multiply
    11,961.40x = 16,506.70 × 6,656.10
  4. Step 4: Simplify right side
    11,961.40x = 109,870,245.87
  5. Step 5: Solve for x
    x = 109,870,245.87/11,961.40
  6. Step 6: Final answer
    x = 9,185.40

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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.