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Finding the Fourth Proportional to 10,427.70, 14,378.94 and 7,442.31

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Solution

The fourth proportional to 10,427.70, 14,378.94 and 7,442.31 is: 10,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.70 : 14,378.94 = 7,442.31 : x
  2. Step 2: Convert to fraction form
    10,427.70/14,378.94 = 7,442.31/x
  3. Step 3: Cross multiply
    10,427.70x = 14,378.94 × 7,442.31
  4. Step 4: Simplify right side
    10,427.70x = 107,012,528.95
  5. Step 5: Solve for x
    x = 107,012,528.95/10,427.70
  6. Step 6: Final answer
    x = 10,262.33

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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.