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Finding the Fourth Proportional to 7,538.16, 11,307.84 and 2,344

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Solution

The fourth proportional to 7,538.16, 11,307.84 and 2,344 is: 3,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.16 : 11,307.84 = 2,344 : x
  2. Step 2: Convert to fraction form
    7,538.16/11,307.84 = 2,344/x
  3. Step 3: Cross multiply
    7,538.16x = 11,307.84 × 2,344
  4. Step 4: Simplify right side
    7,538.16x = 26,505,576.96
  5. Step 5: Solve for x
    x = 26,505,576.96/7,538.16
  6. Step 6: Final answer
    x = 3,516.19

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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.