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Finding the Fourth Proportional to 7,733.46, 11,592.21 and 3,047.13

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Solution

The fourth proportional to 7,733.46, 11,592.21 and 3,047.13 is: 4,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.46 : 11,592.21 = 3,047.13 : x
  2. Step 2: Convert to fraction form
    7,733.46/11,592.21 = 3,047.13/x
  3. Step 3: Cross multiply
    7,733.46x = 11,592.21 × 3,047.13
  4. Step 4: Simplify right side
    7,733.46x = 35,322,970.86
  5. Step 5: Solve for x
    x = 35,322,970.86/7,733.46
  6. Step 6: Final answer
    x = 4,567.55

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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.