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Finding the Fourth Proportional to 10,497.52, 14,474.56 and 7,840.44

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Solution

The fourth proportional to 10,497.52, 14,474.56 and 7,840.44 is: 10,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.52 : 14,474.56 = 7,840.44 : x
  2. Step 2: Convert to fraction form
    10,497.52/14,474.56 = 7,840.44/x
  3. Step 3: Cross multiply
    10,497.52x = 14,474.56 × 7,840.44
  4. Step 4: Simplify right side
    10,497.52x = 113,486,919.21
  5. Step 5: Solve for x
    x = 113,486,919.21/10,497.52
  6. Step 6: Final answer
    x = 10,810.83

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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.