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Finding the Fourth Proportional to 7,262.88, 10,022.58 and 4,119

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Solution

The fourth proportional to 7,262.88, 10,022.58 and 4,119 is: 5,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.88 : 10,022.58 = 4,119 : x
  2. Step 2: Convert to fraction form
    7,262.88/10,022.58 = 4,119/x
  3. Step 3: Cross multiply
    7,262.88x = 10,022.58 × 4,119
  4. Step 4: Simplify right side
    7,262.88x = 41,283,007.02
  5. Step 5: Solve for x
    x = 41,283,007.02/7,262.88
  6. Step 6: Final answer
    x = 5,684.11

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Why These Related Problems?

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