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Finding the Fourth Proportional to 7,734.56, 11,603.12 and 2,539.28

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Solution

The fourth proportional to 7,734.56, 11,603.12 and 2,539.28 is: 3,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.56 : 11,603.12 = 2,539.28 : x
  2. Step 2: Convert to fraction form
    7,734.56/11,603.12 = 2,539.28/x
  3. Step 3: Cross multiply
    7,734.56x = 11,603.12 × 2,539.28
  4. Step 4: Simplify right side
    7,734.56x = 29,463,570.55
  5. Step 5: Solve for x
    x = 29,463,570.55/7,734.56
  6. Step 6: Final answer
    x = 3,809.34

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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.