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Finding the Fourth Proportional to 7,732.52, 11,598.78 and 4,673.96

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Solution

The fourth proportional to 7,732.52, 11,598.78 and 4,673.96 is: 7,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.52 : 11,598.78 = 4,673.96 : x
  2. Step 2: Convert to fraction form
    7,732.52/11,598.78 = 4,673.96/x
  3. Step 3: Cross multiply
    7,732.52x = 11,598.78 × 4,673.96
  4. Step 4: Simplify right side
    7,732.52x = 54,212,233.77
  5. Step 5: Solve for x
    x = 54,212,233.77/7,732.52
  6. Step 6: Final answer
    x = 7,010.94

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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.