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Finding the Fourth Proportional to 7,840.40, 11,753.30 and 2,642.63

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Solution

The fourth proportional to 7,840.40, 11,753.30 and 2,642.63 is: 3,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.40 : 11,753.30 = 2,642.63 : x
  2. Step 2: Convert to fraction form
    7,840.40/11,753.30 = 2,642.63/x
  3. Step 3: Cross multiply
    7,840.40x = 11,753.30 × 2,642.63
  4. Step 4: Simplify right side
    7,840.40x = 31,059,571.02
  5. Step 5: Solve for x
    x = 31,059,571.02/7,840.40
  6. Step 6: Final answer
    x = 3,961.48

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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.