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Finding the Fourth Proportional to 7,732.45, 11,598.47 and 5,358.21

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Solution

The fourth proportional to 7,732.45, 11,598.47 and 5,358.21 is: 8,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.45 : 11,598.47 = 5,358.21 : x
  2. Step 2: Convert to fraction form
    7,732.45/11,598.47 = 5,358.21/x
  3. Step 3: Cross multiply
    7,732.45x = 11,598.47 × 5,358.21
  4. Step 4: Simplify right side
    7,732.45x = 62,147,037.94
  5. Step 5: Solve for x
    x = 62,147,037.94/7,732.45
  6. Step 6: Final answer
    x = 8,037.17

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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.