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Finding the Fourth Proportional to 10,144.42, 14,017.18 and 7,806.76

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Solution

The fourth proportional to 10,144.42, 14,017.18 and 7,806.76 is: 10,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.42 : 14,017.18 = 7,806.76 : x
  2. Step 2: Convert to fraction form
    10,144.42/14,017.18 = 7,806.76/x
  3. Step 3: Cross multiply
    10,144.42x = 14,017.18 × 7,806.76
  4. Step 4: Simplify right side
    10,144.42x = 109,428,760.14
  5. Step 5: Solve for x
    x = 109,428,760.14/10,144.42
  6. Step 6: Final answer
    x = 10,787.09

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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.