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Finding the Fourth Proportional to 7,893.56, 11,836.02 and 2,345.24

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Solution

The fourth proportional to 7,893.56, 11,836.02 and 2,345.24 is: 3,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.56 : 11,836.02 = 2,345.24 : x
  2. Step 2: Convert to fraction form
    7,893.56/11,836.02 = 2,345.24/x
  3. Step 3: Cross multiply
    7,893.56x = 11,836.02 × 2,345.24
  4. Step 4: Simplify right side
    7,893.56x = 27,758,307.54
  5. Step 5: Solve for x
    x = 27,758,307.54/7,893.56
  6. Step 6: Final answer
    x = 3,516.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.