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Finding the Fourth Proportional to 11,314.64, 15,613.68 and 6,840.96

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Solution

The fourth proportional to 11,314.64, 15,613.68 and 6,840.96 is: 9,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.64 : 15,613.68 = 6,840.96 : x
  2. Step 2: Convert to fraction form
    11,314.64/15,613.68 = 6,840.96/x
  3. Step 3: Cross multiply
    11,314.64x = 15,613.68 × 6,840.96
  4. Step 4: Simplify right side
    11,314.64x = 106,812,560.33
  5. Step 5: Solve for x
    x = 106,812,560.33/11,314.64
  6. Step 6: Final answer
    x = 9,440.21

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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.