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Finding the Fourth Proportional to 7,422.50, 10,243.06 and 4,278.90

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Solution

The fourth proportional to 7,422.50, 10,243.06 and 4,278.90 is: 5,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.50 : 10,243.06 = 4,278.90 : x
  2. Step 2: Convert to fraction form
    7,422.50/10,243.06 = 4,278.90/x
  3. Step 3: Cross multiply
    7,422.50x = 10,243.06 × 4,278.90
  4. Step 4: Simplify right side
    7,422.50x = 43,829,029.43
  5. Step 5: Solve for x
    x = 43,829,029.43/7,422.50
  6. Step 6: Final answer
    x = 5,904.89

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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.