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Finding the Fourth Proportional to 10,182.56, 14,060.48 and 7,660.29

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Solution

The fourth proportional to 10,182.56, 14,060.48 and 7,660.29 is: 10,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.56 : 14,060.48 = 7,660.29 : x
  2. Step 2: Convert to fraction form
    10,182.56/14,060.48 = 7,660.29/x
  3. Step 3: Cross multiply
    10,182.56x = 14,060.48 × 7,660.29
  4. Step 4: Simplify right side
    10,182.56x = 107,707,373.49
  5. Step 5: Solve for x
    x = 107,707,373.49/10,182.56
  6. Step 6: Final answer
    x = 10,577.64

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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.