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Finding the Fourth Proportional to 7,734.63, 11,603.52 and 3,292.29

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Solution

The fourth proportional to 7,734.63, 11,603.52 and 3,292.29 is: 4,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.63 : 11,603.52 = 3,292.29 : x
  2. Step 2: Convert to fraction form
    7,734.63/11,603.52 = 3,292.29/x
  3. Step 3: Cross multiply
    7,734.63x = 11,603.52 × 3,292.29
  4. Step 4: Simplify right side
    7,734.63x = 38,202,152.86
  5. Step 5: Solve for x
    x = 38,202,152.86/7,734.63
  6. Step 6: Final answer
    x = 4,939.11

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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.