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Finding the Fourth Proportional to 11,962.56, 16,506.96 and 6,656.64

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Solution

The fourth proportional to 11,962.56, 16,506.96 and 6,656.64 is: 9,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.56 : 16,506.96 = 6,656.64 : x
  2. Step 2: Convert to fraction form
    11,962.56/16,506.96 = 6,656.64/x
  3. Step 3: Cross multiply
    11,962.56x = 16,506.96 × 6,656.64
  4. Step 4: Simplify right side
    11,962.56x = 109,880,890.21
  5. Step 5: Solve for x
    x = 109,880,890.21/11,962.56
  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.