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Finding the Fourth Proportional to 7,446.68, 11,172.54 and 4,675.40

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Solution

The fourth proportional to 7,446.68, 11,172.54 and 4,675.40 is: 7,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.68 : 11,172.54 = 4,675.40 : x
  2. Step 2: Convert to fraction form
    7,446.68/11,172.54 = 4,675.40/x
  3. Step 3: Cross multiply
    7,446.68x = 11,172.54 × 4,675.40
  4. Step 4: Simplify right side
    7,446.68x = 52,236,093.52
  5. Step 5: Solve for x
    x = 52,236,093.52/7,446.68
  6. Step 6: Final answer
    x = 7,014.68

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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.