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Finding the Fourth Proportional to 7,013.68, 10,497.49 and 5,338.77

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Solution

The fourth proportional to 7,013.68, 10,497.49 and 5,338.77 is: 7,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.68 : 10,497.49 = 5,338.77 : x
  2. Step 2: Convert to fraction form
    7,013.68/10,497.49 = 5,338.77/x
  3. Step 3: Cross multiply
    7,013.68x = 10,497.49 × 5,338.77
  4. Step 4: Simplify right side
    7,013.68x = 56,043,631.85
  5. Step 5: Solve for x
    x = 56,043,631.85/7,013.68
  6. Step 6: Final answer
    x = 7,990.61

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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.