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Finding the Fourth Proportional to 7,218.69, 10,838 and 4,992.06

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Solution

The fourth proportional to 7,218.69, 10,838 and 4,992.06 is: 7,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.69 : 10,838 = 4,992.06 : x
  2. Step 2: Convert to fraction form
    7,218.69/10,838 = 4,992.06/x
  3. Step 3: Cross multiply
    7,218.69x = 10,838 × 4,992.06
  4. Step 4: Simplify right side
    7,218.69x = 54,103,946.28
  5. Step 5: Solve for x
    x = 54,103,946.28/7,218.69
  6. Step 6: Final answer
    x = 7,494.98

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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.