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Finding the Fourth Proportional to 7,262.82, 10,022.76 and 4,118.76

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Solution

The fourth proportional to 7,262.82, 10,022.76 and 4,118.76 is: 5,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.82 : 10,022.76 = 4,118.76 : x
  2. Step 2: Convert to fraction form
    7,262.82/10,022.76 = 4,118.76/x
  3. Step 3: Cross multiply
    7,262.82x = 10,022.76 × 4,118.76
  4. Step 4: Simplify right side
    7,262.82x = 41,281,342.98
  5. Step 5: Solve for x
    x = 41,281,342.98/7,262.82
  6. Step 6: Final answer
    x = 5,683.93

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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.