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Finding the Fourth Proportional to 11,539.38, 15,913.89 and 7,559.04

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Solution

The fourth proportional to 11,539.38, 15,913.89 and 7,559.04 is: 10,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.38 : 15,913.89 = 7,559.04 : x
  2. Step 2: Convert to fraction form
    11,539.38/15,913.89 = 7,559.04/x
  3. Step 3: Cross multiply
    11,539.38x = 15,913.89 × 7,559.04
  4. Step 4: Simplify right side
    11,539.38x = 120,293,731.07
  5. Step 5: Solve for x
    x = 120,293,731.07/11,539.38
  6. Step 6: Final answer
    x = 10,424.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.