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Finding the Fourth Proportional to 10,414.83, 14,357.52 and 7,425.48

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Solution

The fourth proportional to 10,414.83, 14,357.52 and 7,425.48 is: 10,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.83 : 14,357.52 = 7,425.48 : x
  2. Step 2: Convert to fraction form
    10,414.83/14,357.52 = 7,425.48/x
  3. Step 3: Cross multiply
    10,414.83x = 14,357.52 × 7,425.48
  4. Step 4: Simplify right side
    10,414.83x = 106,611,477.61
  5. Step 5: Solve for x
    x = 106,611,477.61/10,414.83
  6. Step 6: Final answer
    x = 10,236.51

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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.