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Finding the Fourth Proportional to 10,156.56, 14,003.28 and 7,769.44

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Solution

The fourth proportional to 10,156.56, 14,003.28 and 7,769.44 is: 10,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.56 : 14,003.28 = 7,769.44 : x
  2. Step 2: Convert to fraction form
    10,156.56/14,003.28 = 7,769.44/x
  3. Step 3: Cross multiply
    10,156.56x = 14,003.28 × 7,769.44
  4. Step 4: Simplify right side
    10,156.56x = 108,797,643.76
  5. Step 5: Solve for x
    x = 108,797,643.76/10,156.56
  6. Step 6: Final answer
    x = 10,712.06

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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.