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Finding the Fourth Proportional to 11,563.31, 17,343.54 and 4,984.08

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Solution

The fourth proportional to 11,563.31, 17,343.54 and 4,984.08 is: 7,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.31 : 17,343.54 = 4,984.08 : x
  2. Step 2: Convert to fraction form
    11,563.31/17,343.54 = 4,984.08/x
  3. Step 3: Cross multiply
    11,563.31x = 17,343.54 × 4,984.08
  4. Step 4: Simplify right side
    11,563.31x = 86,441,590.84
  5. Step 5: Solve for x
    x = 86,441,590.84/11,563.31
  6. Step 6: Final answer
    x = 7,475.51

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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.