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Finding the Fourth Proportional to 7,224.88, 10,838.28 and 2,030.80

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Solution

The fourth proportional to 7,224.88, 10,838.28 and 2,030.80 is: 3,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.88 : 10,838.28 = 2,030.80 : x
  2. Step 2: Convert to fraction form
    7,224.88/10,838.28 = 2,030.80/x
  3. Step 3: Cross multiply
    7,224.88x = 10,838.28 × 2,030.80
  4. Step 4: Simplify right side
    7,224.88x = 22,010,379.02
  5. Step 5: Solve for x
    x = 22,010,379.02/7,224.88
  6. Step 6: Final answer
    x = 3,046.47

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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.