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Finding the Fourth Proportional to 10,121.40, 13,964.22 and 5,644.32

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Solution

The fourth proportional to 10,121.40, 13,964.22 and 5,644.32 is: 7,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.40 : 13,964.22 = 5,644.32 : x
  2. Step 2: Convert to fraction form
    10,121.40/13,964.22 = 5,644.32/x
  3. Step 3: Cross multiply
    10,121.40x = 13,964.22 × 5,644.32
  4. Step 4: Simplify right side
    10,121.40x = 78,818,526.23
  5. Step 5: Solve for x
    x = 78,818,526.23/10,121.40
  6. Step 6: Final answer
    x = 7,787.31

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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.