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Finding the Fourth Proportional to 7,048.82, 9,720.66 and 4,215.73

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Solution

The fourth proportional to 7,048.82, 9,720.66 and 4,215.73 is: 5,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.82 : 9,720.66 = 4,215.73 : x
  2. Step 2: Convert to fraction form
    7,048.82/9,720.66 = 4,215.73/x
  3. Step 3: Cross multiply
    7,048.82x = 9,720.66 × 4,215.73
  4. Step 4: Simplify right side
    7,048.82x = 40,979,677.98
  5. Step 5: Solve for x
    x = 40,979,677.98/7,048.82
  6. Step 6: Final answer
    x = 5,813.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.