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Finding the Fourth Proportional to 10,414.34, 14,356.83 and 7,424.98

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Solution

The fourth proportional to 10,414.34, 14,356.83 and 7,424.98 is: 10,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.34 : 14,356.83 = 7,424.98 : x
  2. Step 2: Convert to fraction form
    10,414.34/14,356.83 = 7,424.98/x
  3. Step 3: Cross multiply
    10,414.34x = 14,356.83 × 7,424.98
  4. Step 4: Simplify right side
    10,414.34x = 106,599,175.61
  5. Step 5: Solve for x
    x = 106,599,175.61/10,414.34
  6. Step 6: Final answer
    x = 10,235.81

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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.