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Finding the Fourth Proportional to 7,278.41, 10,042.48 and 5,285.50

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Solution

The fourth proportional to 7,278.41, 10,042.48 and 5,285.50 is: 7,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.41 : 10,042.48 = 5,285.50 : x
  2. Step 2: Convert to fraction form
    7,278.41/10,042.48 = 5,285.50/x
  3. Step 3: Cross multiply
    7,278.41x = 10,042.48 × 5,285.50
  4. Step 4: Simplify right side
    7,278.41x = 53,079,566.03
  5. Step 5: Solve for x
    x = 53,079,566.03/7,278.41
  6. Step 6: Final answer
    x = 7,292.75

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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.