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Finding the Fourth Proportional to 7,729.50, 11,575.60 and 4,947.68

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Solution

The fourth proportional to 7,729.50, 11,575.60 and 4,947.68 is: 7,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.50 : 11,575.60 = 4,947.68 : x
  2. Step 2: Convert to fraction form
    7,729.50/11,575.60 = 4,947.68/x
  3. Step 3: Cross multiply
    7,729.50x = 11,575.60 × 4,947.68
  4. Step 4: Simplify right side
    7,729.50x = 57,272,364.61
  5. Step 5: Solve for x
    x = 57,272,364.61/7,729.50
  6. Step 6: Final answer
    x = 7,409.58

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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.