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Finding the Fourth Proportional to 7,730.53, 11,597.70 and 3,573.43

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Solution

The fourth proportional to 7,730.53, 11,597.70 and 3,573.43 is: 5,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.53 : 11,597.70 = 3,573.43 : x
  2. Step 2: Convert to fraction form
    7,730.53/11,597.70 = 3,573.43/x
  3. Step 3: Cross multiply
    7,730.53x = 11,597.70 × 3,573.43
  4. Step 4: Simplify right side
    7,730.53x = 41,443,569.11
  5. Step 5: Solve for x
    x = 41,443,569.11/7,730.53
  6. Step 6: Final answer
    x = 5,361.03

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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.