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Finding the Fourth Proportional to 10,266.76, 14,177.48 and 7,744.56

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Solution

The fourth proportional to 10,266.76, 14,177.48 and 7,744.56 is: 10,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.76 : 14,177.48 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    10,266.76/14,177.48 = 7,744.56/x
  3. Step 3: Cross multiply
    10,266.76x = 14,177.48 × 7,744.56
  4. Step 4: Simplify right side
    10,266.76x = 109,798,344.51
  5. Step 5: Solve for x
    x = 109,798,344.51/10,266.76
  6. Step 6: Final answer
    x = 10,694.55

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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.