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Finding the Fourth Proportional to 10,144.54, 14,017.35 and 7,806.88

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Solution

The fourth proportional to 10,144.54, 14,017.35 and 7,806.88 is: 10,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.54 : 14,017.35 = 7,806.88 : x
  2. Step 2: Convert to fraction form
    10,144.54/14,017.35 = 7,806.88/x
  3. Step 3: Cross multiply
    10,144.54x = 14,017.35 × 7,806.88
  4. Step 4: Simplify right side
    10,144.54x = 109,431,769.37
  5. Step 5: Solve for x
    x = 109,431,769.37/10,144.54
  6. Step 6: Final answer
    x = 10,787.26

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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.